My boyfriend is still using dating websites
We lived together for two and half of these but the last two years we've been living apart after a brief separation but are trying to make things work.
The reason for the separation was that one day when I was cleaning his email inbox for him I discovered emails between him and another man.
Someone can cheat once in a relationship and never do it again.
There is nothing to salvage here - his behaviour shows he has no respect for you, and he probably never will.
He sounds like a classic case of wanting his cake and eating it - he wants to have sex with anything with a pulse, but expects you to be the perfect housewife waiting loyally at home for him?