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I don't know how they're playing it in this movie. In the comics this would've been in the same universe. My guess is in the movie they probably won't refrence the x-men at all, they'll just talk...

I know absolutely nothing about the X-men other than the movies. So is this set in the same universe as them? Is this set after they are all gone?

Deadpool is basically taking over everything.

https://movieweb.com/deadpool-2-walmart-blu-ray-stunt-classic-movie-poster-spoofs/