Relationship: Do men cheat even though they say they won’t because they’ve been cheated on before?

My boyfriend and I have been together almost three months now. Before we became official I made him wait 10 dates before I’d be his girlfriend because I wanted to make sure he was the one I wanted to invest my time into given since I was single almost 4 years before I started to see him. I got cheated on and abused by my ex so many times that it made it hard to trust people.

My current boyfriend says he understands my worries but he won’t ever cheat or abuse me because he too knows how it feels. He says that he wants me to be his last partner because he loves me.

Do men cheat when they say they won’t or promise not too? I notice we will text then all of a sudden he lags then replies with one word.