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 southwest Sydney, on Friday afternoon following reports of a domestic assault.

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

A man known to her who had allegedly fled the scene was located a short time later in a nearby s

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