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A man arrested has been for committing an indecent act near shops.
Residents have reported seeing a man exposing along Tonbridge Road, Maidstone, in recent weeks.
Kent Police confirmed they have arrested one man.
A Kent Police spokesman said: "We were called at 8.35am on Tuesday, August 6 and arrested the 36-year-old man from Maidstone in connection with the allegations at 11pm the same day."
He remains in custody.
People said they had witnessed a man exposing himself while they were walking their children to school.