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The red Suzuki Grand Vitara was on Dedridge West Road, Livingston, around 3.45pm on Thursday 18 August.
A 21-year-old man was later arrested in connection with the theft of the vehicle and will be appearing at Livingston Sheriff Court on Monday 22 August.
Anyone who witnessed the vehicle in the area around that time should contact Police Scotland on 101, quoting Operation Alterwood.