Found questionable porn on fiancee's computer....?

Im not in the dark ages ok, I know all men look at porn.....but I keep finding questionable porn on his computer that he downloads, these girls are probably 18+, but some are questionable and the titles of the movies are very questionable....unmistakably titled to attract pedo's etc... I have a teenage daughter and she is not his.....I trust him, but what am I to make of this? should I be concerned? Do I have a right to?