Should I leave? Read description

I have my boyfriend’s Instagram account logged in my phone and I barely checked it. A few days back out of curiosity I checked and saw that he searches girls profiles a lot, I didn’t say anything but saw it happening more. I confronted him about it and he said he thinks they’re pretty but he would never dare nor does he want to talk to them or he never does it with intentions of cheating. I believe that he has never tried to contact them but it still hurt a lot on my confidence. He said that he can delete the account if it makes me more comfortable but I still don’t know if I would trust him. Thoughts?

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