Apple has confirmed to BBC News that many imitation versions of the enormously popular word game Wordle have been deleted from the App Store as a result of the investigation.
However, according to BBC News, numerous games with a similar design are still accessible. For the past five years, a separate game with the same name has been available for purchase.
On Google Play, the app store for Android phones, there were two games called Wordle, but none was identical to the other in any way.
It is not thought that the name has been trademarked or that the design has been copied.
Wordle challenges users to discover a five-letter word in as little as six guesses, with a new puzzle being released on a daily basis.
It is accessible through a free website - however there is no smartphone application available.
Players begin by making educated guesses about any five-letter word.
They will change gold if any of the letters in that day's word are in the wrong position; otherwise, they will remain black.
The colour of the letters changes if they are in the correct position in the word.
They become grey if they are not found in the term.
Players may share their progress through the colourful grid on social media, but they must do it in a way that does not reveal the solution to others who are still playing.
According to some estimations, this feature has assisted in increasing the game's popularity from 90 players in November to more than two million users now.
Josh Wardle, a software developer, first built the game as a pleasant exercise for him and his spouse, and then shared it with his family over WhatsApp.
He then shared it with his family over WhatsApp before making it available to the whole public for viewing.
Mr Wardle told BBC Radio 4's Today programme that he intended the game to be the polar opposite of the ad-filled, attention-grabbing mobile games that are now available.
According to Mr Wardle, "I am a little wary of mobile applications that demand your attention and send you push alerts in order to grab more of your attention."
"If you want to make something completely different, how about a game that purposely doesn't desire much of your attention? That seems interesting.
"There are also no advertisements, and I am not collecting or using any of your personal information - and this is done on purpose."
However, several of the counterfeit versions are attempting to charge players for the privilege of playing.
Zach Shakked, who was being sued, tweeted about the sudden success of his Wordle - the App, claiming that it had had "12,000 downloads" and hundreds of trial memberships, according to the lawsuit.
Apple eventually decided to remove the feature.
However, because Wordle is a web-based tool, it is uncertain if it would fall under this prohibition.
Mr Shakked first stated that he had "stepped a line" and would not do the same thing again, but he then announced that he was appealing Apple's decision, promising to modify the design, the way the game operated, and even the name of the game if they would agree.
Games from earlier in the season
Because there is no app for Wordle, he explained, "I can just purchase the Apple Search Ads slot for the 'wordle' keyword and obtain inexpensive downloads - and ultimately, the app, even with a different name, will rank for Wordle."
Mr Shakked justified his activities by claiming that Wordle was a derivative work in and of itself, and that the title was not trademarked.
And he added that he had promised Mr Wardle "a significant licencing fee" in exchange for collaborating on the development of an official app version of the game, but that Mr Wardle "wasn't interested in that."
Wordle itself is reminiscent of older games such as the television game show Lingo and the board game Mastermind, which was devised in 1970 by telecommunications specialist Mordecai Meirowitz and is still in use today.
Users on Twitter pointed out that Jotto, a word game that was published in the 1950s, featured gameplay that was comparable.