What would you do if you had the most amazing boyfriend but couldn't trust him?

Me and my bf are together a year and we love each other a lot and have planned on moving in together for a while. We split up for 2 months recently and didn't see each other during this time, we are now back and have been inseparable since. Only thing is u know he was texting other girls while we were apart as I seen a FB chat with a girl asking him to stay over at hers and other girls that have left comments on his page. I know he was with someone while we were apart as I found a condom in his wallet and we never use them, I know he wouldnt cheat but at the same I hate the thought he could have been sleeping around and meeting othergirls. I know it's not my business but I don't want to bring it up. I don't know what to do, anyone ever been in a similar situation, can someone please advise me what to do?