Has she really moved on?

Hi, just want to ask your opinion. I (27M) have a gf for more than a year already, prior to our relationship, she has an ex bf of 10 YEARS! We don’t have a problem with our relationship and I can really feel that she loves me and cares for me. But what really bothers me is that she still has their photos together with her ex-bf in her IG and there was a time that I saw her ex-bf name in her search history (fb). She always assures me that she is over her ex already and she has moved on. My questions is, has she really moved on?