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A man has been arrested on suspicion of murder after a mum-of-two went missing.
Alexandra Morgan was last seen at a petrol station near Cranbrook at 7.20am on Sunday, November 14, and has not been in contact with her family since.
Her disappearance is now being treated as suspicious and a potential murder.
A photo of the car with the registration number MF55 YHM has also been issued by officers as part of their enquiries.
Investigators have established that, on Sunday 14 and Monday 15 November, the vehicle made journeys between her home and towards the Hastings area.
Today, a 40-year-old man from St Leonards-on-Sea has been arrested on suspicion of murder.
Kent Police officers, with support from Sussex Police are carrying out searches in three locations in the Hastings and St Leonards-on-Sea area, as part of their work to locate Alexandra.
Residents can expect to see a heightened police presence in the area as enquiries continue.
Det Ch Insp Neil Kimber, of the Kent and Essex Serious Crime Directorate, said: "It is completely out of character for Alexandra not to contact her family and we are now treating this case as a potential murder.
"While we continue our investigation, I would urge anyone who may have seen Alexandra or her white Mini Cooper with a black roof to contact us.
"If you think you may have seen Alexandra or something suspicious but are not sure, please do not hesitate to call and let us know."