I made a fake Tinder account and caught my boyfriend flirting. Now what?

Anonymous
I recently caught my boyfriend of over two years using Tinder. I saw he had the app on his phone and when I got the chance I looked at his pictures and found half naked pictures of girls. I made a fake Tinder account of a girl I knew he'd think was hot and sure enough we were a match. We flirted back and forth for two days (while him and I were hanging out together!) and then I showed him the messages and asked why he was doing it. He said I'd never understand but he has never cheated on me. Stuff like this has been going on basically our entire relationship. He feels really bad about it and he says he knows he messed up and doesn't deserve me, but can I even trust he's not just going to go back to doing this? Am I wrong to consider this cheating?
I made a fake Tinder account and caught my boyfriend flirting. Now what?
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