boyfriend of four years has a lust problem and idk what to do

yeah. basically in october i went through this phone, more so his previously downloaded apps bc i was curious and i saw that from august 2024 to may 2025 he have been downloading these apps, like character ai apps, with women ai or something, many of these apps seemed to be heavily sexual and such. anyways i confronted him about it and he was pretty much straight up with me and was sorry but he kept reassuring me (and to this day he does) that he didnt engage in any sexu all or romantic convos, says some of these were storytelling games and how he never got off to apps like these yknow, and he kept reassuring me everyday that he never did. he said he stopped in may. which checks out because the last app was downloaded towards the end of may. in november i mentioned to him i wanted him to stop watching porn and he agreed, and so far i haven't found anything so he pretty much stopped i guess. but i keep finding stuff in his web history from the past, like sexy ai chat or ai porn pics or something. but this was way before i confronted or found out so i dunno. but i think the main thing that bothers me is that i went through his disc0rd (he gave me his passwords to every single media he has i guess to help) and saw that in june he and this girl were messaging, and this girl were messaging, but he was i think sending pics of random porn stars to this person but i didn't see any s3xting at all and he still swears he never did anything sexual or romantic with anything so i'm just stuck on what to do.