Using the differences between "complex" and "complicated" can create tension, misunderstanding, and humor in storytelling by playing with characters’ abilities to handle one but not the other.
Comedy
Misinterpreted Problem: A character faces a complicated issue, like assembling furniture with convoluted instructions, but treats it as if it's a complex problem. They overthink simple steps, creating a comedic overreaction. ("I think this table is challenging my perception of reality.")
Overwhelming Complexity: A character skilled in solving complicated tasks (e.g., a genius engineer) is completely overwhelmed by a complex social situation. Their attempts to apply logic to relationships, which are inherently messy, result in awkward and funny moments. ("Why can’t I just run a simulation to fix our marriage?")