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.
Drama
Complex Relationships: A drama could explore a character who can solve complicated issues (e.g., a detective), but is helpless in the face of complex emotional dynamics. Their inability to navigate human relationships creates inner tension and drama.
Complicated Solution to Complex Problem: A character tries to resolve a complex situation (like societal unrest) with a complicated approach (like imposing more rules), leading to failure and escalating drama.
These scenarios emphasize the contrast between logical problem-solving and the unpredictability of real life.