Is it possible for me [20F] to trust my boyfriend [22M] once more?

I (20F) have been in a relationship with my boyfriend (22M) for 10 months. Two months ago, I discovered hundreds of explicit and sexual posts saved on his phone across various social media platforms. When I confronted him, he confessed to having struggled with an addiction for years, which had affected his previous relationship as well. He had been deceiving me and hiding this from me for months, even though we spent nearly all our time together. This revelation was particularly hurtful because I had made it very clear at the start of our relationship that I felt uncomfortable with him consuming porn or sexual content. I had even shared how I ended a past relationship over a similar issue due to the pain of betrayal and the increase in my insecurities. After finding out, I initially broke up with him, but we reconciled a few weeks later. Since then, things have been going really well. He agreed to go to therapy, imposed restrictions on his phone, and has given me open access to it. He has reassured me multiple times that he genuinely wants to change for both my sake and for his own health. We recently returned from a week-long vacation with his family, and we’re even looking for places to move in together. I truly felt like we were in a positive place. I'm not the type to snoop through my partner's phone, which is why I missed the saved posts for so long, but I had a gut feeling yesterday and decided to take a look. To my dismay, I found three explicit posts saved from the same creator that weren’t there just a few days ago. When I brought it up, he first claimed he didn’t mean to save them, then explained that his social media feed was pushing sexual content his way. He said he saved some explicit posts in an attempt to unsave them later to see if that would help reset the algorithm, since the "not interested" button hadn’t been working (and I’ve noticed that it can be unreliable). He insists that he wouldn't be foolish enough to repeat the same mistake after everything that transpired. However, I find his explanation hard to believe and I'm unsure about how to proceed. I don’t want to be naive, but I also don’t want to assume the worst if he really is trying to change. Things have been really good lately, and I love him deeply. I'm feeling quite overwhelmed about this situation. TL;DR: I found explicit posts saved on my boyfriend’s phone two months ago, which violated a boundary we set early in our relationship. He admitted to a long-term addiction, committed to change, went to therapy, and placed restrictions on his phone. Things were going well until I found three explicit posts saved again. He claims he was trying to fix his algorithm and wasn’t actively engaging with the content. I want to trust him, but I’m struggling. How should I move forward?