Complex (meaning different) and
complicated (meaning difficult) basically it means something that's new, different, and
confusing, such as a
complexicated relationship or a person with a complexicated personality.
Girl 1: So how are things going with you and that new guy you're seeing?
Girl 2: I don't know, things are really
complexicated with us. I'm not sure where things are going.
OR
One minute Britney's happy, the next minute she's sad. She's also very unique. She has a very complexicated personality.