Some science fiction memory loss movie? Help!

So all I can remember is that it was some kind of science fiction type movie? This guy and girl go through the whole movie together then all of a sudden the world is saved or whatever and they go back to their normal lives, but the girl has no memory of the man that loved her and at the end of the movie, they’re in like new york city walking on the busy street and the guy sees the girl and just lets her walk past him without telling her what he knows about her. Any ideas? It’d be a big help! Thank you in advance!

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