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Detectives are investigating after a man allegedly made lewd and sexually explicit suggestions to members of the public.
Police officers said they received several reports of indecent behaviour between Monday, November 4 and Thursday, November 14 across Dartford and Swanley.
The incidents are said to have happened in Hawley Road and High Street, Dartford, and in Holmesdale Road, South Darenth, and New Barn Road, Swanley.
The suspect is reported to have spoken in an Eastern European accent.
Investigators have now released a CCTV image of a man who they think may be able to help with their inquiries.
Anyone with information, or who recognises the person pictured, is urged to call the West Kent appeals line on 01622 604100, quoting reference 14-0431.