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Flowers and tributes have been left outside the house where a woman was found dead.
Police were called to Richmond Road, Gillingham, on Thursday and found a 39 year-old woman dead inside her property.
Today, a police cordon remained around the house which is at the junction of Richmond Road and Saunders Street.
Two floral tributes lay beside the house, addressed to a woman named Kelly.
One read: "Miss you so much can't believe it. Love you loads from your cousin Lauren, Michael and two kids.
Another said: "Kelly, you got taken too soon, RIP. Love Mark, Lou, Alfie."
A man in his 30s remains in police custody after being arrested on suspicion of murder.
Eye witnesses reported seeing nine police cars, a van and an ambulance on the scene at around 4.50pm on Thursday afternoon.
Anyone with any information is asked to contact Kent Police by calling 01634 792209, quoting reference number 16-1041 or Crimestoppers on 0800 555111 or using the anonymous online form at Crimestoppers-uk.org