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.
Complexicated (adj.): a suffocating weave of the complex and the complicated; systems and situations so intertwined that clarity itself becomes obscured.
To make complex things more complicated or to make complicated things more complex. Verb: complexication, adding more variables to an already complex and/ or complicated system. adj: complexicated, a system both complicated and complex.
Designing the life support system to allow astronauts to go to mars is very complex and doing the geometry of the flight is very complicated, the mission itself is very complexicated.