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.
One of the options for "Relationship Status" on Facebook. Refers to a couple in an ambiguous state between "friends" and "in a relationship". May also be used to indicate dissatisfaction with an existing relationship.
If someone changes their status from "In a Relationship" to "It's Complicated", expect them to be "Single" and "Looking for Random Play" soon.
12 step recovery jargon referring to someone new who talks about how great life is, now that they'resober. Usually meaning that the person is out of touch with reality.
The new guy seems pretty happy for a dude who has no job, no money and no family. He must be on a pink cloud.