I found ACTIVE dating apps on my boyfriend phone

We had conversations about this on several occasions in a 2-week period of me finding the apps and message, match notifications. I found multiple apps, not one. He is not acknowledging the issue and taking his lie to the grave apparently. So I swiftly, broke up with him. I don't believe in putting too much time and energy into something when the other person will not acknowledge the issue at hand. I'm deeply disappointed. But I know I did the right thing. Most people would say they would leave someone for doing this, but it's easier said than done. Then as I'm going through my healing process from the break up I am finding this level of disrespect is not uncommon. I'm trying to think of the love we had and the great things about our relationship, as to not lose hope in finding love. One thing that is a common thread with my friends feedback is that they are proud of me knowing I deserve better, but on the flip side they continue to reassure me he will reach out and may have an explanation. Why do we as women always want to leave the door open for the person who hurts us?