Do Mashiro and Sorata get together in the anime?

I'm triyng to prove to my friend that they did because I remember them going out for a while and I've talked to a lot people who've said the same thing and I feel like I'm going insane. I can't find evidence of it anywhere but I remember it happening I haven't even read the light novels. There was an amazing scene I remember and then they started going out for a while and after a few episodes or 1 episode they broke up or something?