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Wrightworth is the slash ship between Phoenix Wright and Miles Edgeworth from the Ace Attorney fandom.

Ace Attorney: Phoenix Wright
Originally, the ship started during the end of Turnabout Samurai, where Miles Edgeworth and Phoenix Wright have their first full-fledged conversation in years. Edgeworth expresses his feelings of unease and uncertainty when speaking to Wright.

The two meet again in Turnabout Goodbyes, as Miles Edgeworth is accused of murder. Phoenix takes it upon himself to become Miles' lawyer and defend him in court. In the end, he succeeds and the two form a closer bond.

Phoenix's entire reason for becoming a lawyer stemmed from him having a chance to meet his childhood friend, Miles Edgeworth, who after the traumatic events during the DL-6 incident, transferred to another school. Their friendship originally started when Phoenix was accused of stealing Miles' lunch money, even though it was Larry Butz (Their other friend) was the one who actually stole the money. Young Edgeworth decided to defend Wright in the class trial and that is when their friendship began.

Ace Attorney: Justice for All
From Reunion, and Turnabout to Farewell, My Turnabout, our main character, Phoenix Wright, expresses his anger and feelings of despair while talking about Miles Edgeworth, even him dismissing his existence to his partner, Maya Fey.

It all started when the news of the apparent suicide of Miles Edgeworth started to surface, reaching Wright. In the alleged suicide note, read: "Prosecutor Miles Edgeworth chooses death." Phoenix felt that the Edgeworth he knew had died and was replaced with a shadow of his former self. During these cases, it was clear that Phoenix wanted nothing to do with Edgeworth, yet talked about him in great detail whenever someone asked. (Jokingly, most fans say that Phoenix acts like a typical ex who just had his heart broken by a former lover).

During Farewell, My Turnabout, after the assassination attempt on Franziska von Karma, Miles Edgeworth steps in as the prosecutor for the case. During the investigations, Miles helps out Phoenix, giving him info and evidence that could help him in the trial. Eventually, when Edgeworth finds out about Maya's kidnapping, Edgeworth and Wright team up and try to get to the bottom of the case, both even helping each other out in court.

A big theme about this trial is the trust Edgeworth puts in Phoenix for him to do the right thing at the end, putting all his faith into Wright. And Phoenix, at the end of the trial, trusts him back and gives his defendant, Matt Engarde, the guilty sentence.

Ace Attorney: Trials and Tribulations
During the game's last case, Bridge to the Turnabout, Phoenix falls off a bridge and is unable to defend his client, Iris Fey. Larry calls Edgeworth to inform him of the danger Phoenix is in, and Miles immediately books a flight to go and see Wright.

While Phoenix wasn't in any danger, he asked Edgeworth to defend Iris in court, giving him his attorney's badge and magatama.

During the investigation and first court trial, Miles figures out how hard a life of a defense attorney is, and gains a little more respect for Wright. After the trial and after his quick recovery, Phoenix meets up with Miles, thanking and complimenting his skills in the trial.

Day 2 of the Investigation takes a dark turn when an earthquake hit Hazakura Temple,. Miles' biggest fear being earthquakes, Phoenix immediately thinks of the danger Edgeworth could be in and rushes over to Dusky Bridge. While Edgeworth is alright, his noticeable fear of earthquakes is present in his behavior, blaming himself for letting Iris slip away, because he was passed out.

After sometime, the two meet in the garden, where Edgeworth talks intimately about his relationship with earthquakes and DL-6, opening up to him.

(During this encounter, Wright even thinks of hugging Edgeworth, but holds back.)

((If you keep presenting profiles with him, Edgeworth becomes comedic, genuinally being happy and smiling a few times. Note: Miles only really smiles when Phoenix is around, the exception being Franziska, who is more of like his little sister.))

Apollo Justice: Ace Attorney
While Edgeworth isn't directly named in AJ, Phoenix often talks about a friend of his he once had.

Miles Edgeworth: Investigations
Similarly, Phoenix is never referred to by name in the spin-off, but Edgeworth does make vague references to him, even remarking that his usage of the word "contradiction" is Phoenix rubbing off on him. He also makes numerous references to the defense attorney in the second investigations game, referring to him as 'that man' or 'a certain friend' and attributing the cause of the destruction of his own 'self-centered sense of justice' to Phoenix.

Ace Attorney: Dual Destinies
When Phoenix mentions going to Europe, he reveals that he went to study the legal systems there with Edgeworth over the 7-year gap, and would help him with some cases from time to time. It is also revealed that Edgeworth helped Phoenix get his badge back after his disbarment.

When they face off in cases together, even the judge and Fulbright pick up on the tension between them, and some of their exchanges (especially when Phoenix incurs a penalty) do indeed sound like those from an old married couple.

Ace Attorney: Spirit of Justice
Miles implies he's seen some of Trucy's shows, and she leans on him while asleep on an airplane in a cutscene. Miles and Phoenix also share living accommodations while in Khura'in.

Other Media
In the Ace Attorney anime, both intros heavily focus on the relationship between the two. The first OP showcasing a sort of golden chain that binds the two together, not only a symbol of court, but also a symbol of their relationship. The second showcasing, again, the contrast between the two, but since their relationship has grown, they are both seen smiling at each other while facing in court.

The second season shows Miles' face softening in a smile when he notices Phoenix behind him in the intro. In Turnabout Express - Last Trial, Gumshoe cries tears of joy at the two working together to find the truth to this case. Before the train blows up, Phoenix can be seen looking back into the car at Miles on the screen, and Miles smiles at him.

In one of the Miles Edgeworth Case Files official mangas, Miles can be seen looking up at the stars wistfully as they take the form of Phoenix's profile, and he thinks to himself, "For some reason, whenever I'm tired, I'm reminded of you."

Fanon
Wrightworth is one of the most popular ships in the Ace Attorney fanbase, most thinking that the ship could become canon. The chemistry between the two is undeniable, and the two being a great ying and yang pair (Prosecutor and Defense Attorney, Red and White, Night and Day).

Trivia

 * This ship can also be called WrightWorth.
 * The ship name comes from their Japanese names, Naruhodō Ryūichi and Mitsurugi Reiji. Also, their localized names, Phoenix Wright and Miles Edgeworth.
 * There was once a joke article in a Nintendo magazine about the best fictional couples, and Wrightworth was on that list.
 * There is a supposed interview with the writers of Ace Attorney, that Edgeworth isn't interested in women, but thinks Phoenix looks rather nice. (Also, it has been confirmed that Phoenix thinks Edgeworth looks attractive.