They say it took place at approximately 12 noon on Sunday (July 31) and involved a blue-coloured vehicle in the city-bound stretch between Lurgan and Moira.
A PSNI spokesperson said Road Policing officers at Mahon Road had received a report of the alleged dangerous driving and urged anyone who may have seen it to get in touch.
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“Any motorists who may have witnessed this incident or may have any dashcam footage is requested to contact police via the 101 telephone number and quote incident number 1068.”