CADILLAC -- Troopers say a complex investigation revealed that a young Cadillac girl, who is under the age of 15, had been involved in an online relationship with 22-year-old Matthew Ducat of Bowling Green, Ohio. The relationship started out with the two communicating online, but after several months Ducat came to Cadillac and the relationship became sexual. Matthew Ducat was arrested and charged with accosting a minor for an immoral purpose in June. He was sentenced on Monday to spend one year in jail.