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A woodland search was launched after a man was spotted performing a sex act in shrubbery.
The man was seen in woodland off White Horse Lane, Otham on Tuesday evening, but when police arrived, he could not be found.
A spokesman for Kent Police said: "Kent Police was called at 9pm on Tuesday to reports a man had been indecently exposing himself in an area of woodland off White Horse Lane, Otham.
"Patrols attended and carried out a search of the area but were unable to locate a suspect."
The suspect had dark hair, olive skin and was wearing a white t-shirt.
Anyone with information should call the police 01622 604100, quoting reference 23-1609.