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Police are still at a house in Rainham where a man with head injuries was found who later died in hospital.
Officers were called to Lonsdale Drive, just before the New Year after the man was found injured at a property there.
Police say they are treating it as an unexplained death.
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Forensic teams, police vehicles and a command support unit have been parked outside the property for days. One police car remains there this morning.
The property is at the bottom of Lonsdale Drive, near to the junction with Broadview Avenue.
One man who lives nearby, Stuart Finn, said: “I saw two forensic vehicles and several police cars outside the house and an incident command unit parked up too.
"I wondered if there had been a murder or something."
Video: Police and forensic teams at the scene
Others living in the road say they have seen forensic officers searching for evidence outside the property too.
One woman, a neighbour who didn’t want to be named, said: “There was loads of police there again today and forensic officers out the front.
“Then officers started knocking on doors nearby asking questions. I’d heard there had been a body found.”
A spokesman for Kent Police confirmed the man had died.
She added: “Kent Police was called at 3.31pm on Friday, 30 December to report of a man suffering from a head injury at a property in Londsdale Drive, Gillingham.
“Officers attended along with South East Coast Ambulance Service and he was taken to a London hospital where he died on Sunday, January 1.
"The death is being treated as unexplained at present pending the results of a post-mortem."
She added that a 56-year-old woman was arrested on suspicion of attempted murder on December 31, and has been bailed to return to a police station on Monday, February 27.
Inquiries are on-going into the circumstances surrounding the incident.
It is understood the dead man and the woman were known to each other.