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A police cordon was put up outside a hospital.
Officers were seen outside the accident and emergency department at Maidstone Hospital on Hermitage Lane this morning.
A police spokesman has since confirmed it is linked to a fatal stabbing in Harrietsham.
A patient at the hospital said there was still a police car and forensics van at the scene this morning.
A man and a woman, who are known to the victim, have been arrested and taken into custody.
An investigation is being led by the Kent and Essex Serious Crime Directorates.