Shortly before 21:30hrs on Monday, 27 February, a member of the public reported a sighting of Constance Marten and Mark Gordon in Stanmer Villas, Brighton.
Officers from Sussex Police attended the location and the pair were arrested. They remain in custody.
The baby is still missing and an urgent search operation is taking place in the area.
Anyone with information that could assist the search is asked to call 999.
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