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Police and Border Force officers are thought to have raided a property on the exclusive Ingress Park development.
Eyewitnesses report a large house was surrounded earlier today by a number of officers taking part in what is thought to be an immigration raid.
Both police and immigration officers were in the area for several hours.
A Home Office spokesman said: "Acting on intelligence received, Immigration Enforcement officers carried out a visit yesterday, Tuesday 12 July, at a residential address in Ingress Park, Greenhithe, Kent. No arrests were made."