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A 21-year-old is in custody after police received a complaint about a man acting suspiciously.
Officers were called shortly before 7pm last night to the Windmill Hill area of Gravesend.
A man was subsequently arrested in Shrubbery Road on suspicion of possession with intent to supply cocaine.
Kent Police Gravesham posted a picture on Twitter following the arrest.
They said officers had found 25 grams of cocaine, which had an estimated street value of over £1,000.
The suspect remains in police custody this morning.