Police are investigating two deaths following separate alleged domestic violence incidents in NSW. Photo: Joel Carrett/AAP PHOTOS

A critical incident has been declared after a 60-year-old man died in hospital following his arrest for allegedly assaulting a woman.

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Police and paramedics were called to Lurnea in Sydney's southwest on Friday afternoon after reports of a domestic assault.

A 58-year-old woman was treated at the scene and taken to Liverpool Hospital with serious head injuries.

NSW Police Acting Assistant Commissioner Trent King said a weapon was found at the scene of the

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