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Emergency services were called after a car was set alight near Medway Hospital in Gillingham last night.
Police received a report of a car alight in Longfellow Road, Gillingham, at 9.23pm.
Officers attended alongside firefighters, who extinguished the fire.
The cause is believed to be suspicious and officers are conducting ongoing enquiries into the incident.
Anyone with information can call Kent Police on 01634 792209 quoting 23-1410, or Crimestoppers anonymously on 0800 555 111.