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A 49-year-old woman has been taken to hospital with stab wounds to her hand and abdomen, Sussex Police have said.
Her injuries were not considered to be life-threatening or life-changing, the force added.
Officers were called to the domestic incident at a flat in Clarendon Place, Portslade, shortly before 18:00 BST on Monday.
A 44-year-old woman, from Hampshire, was arrested on suspicion of committing grievous bodily harm and remains in custody.
