Craig (right) opened the scoring for Livi at Almondvale
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Livingston set up a Scottish Cup tie with Partick Thistle or Dunfermline with a comfortable victory.
Steven Craig slammed in from 16 yards after just four minutes when he ran on to a clever Colin McMenamin cut-back.
Cowdenbeath's David Bingham shot wide from close range and the home side moved further ahead when Graham Dorrans crossed for McMenamin to head home.
The visitors' Paul McQuade missed a second half one-on-one, while Livi's Liam Fox clipped the bar with a shot.
Livingston: Stewart, MacKay, James, McPake, MacDonald, Walker, Dorrans, Fox, McMenamin, Craig, Snodgrass. Subs: Jacobs, Makel, Weir, Griffiths, Lunn.
Cowdenbeath: Hay, David Armstrong, Adamson, John Armstrong, Hill, O'Neil, Mark Ramsey, McBride, McQuade, Bingham, Manson. Subs: Allison, Patrick Scullion, Robertson, Tennerazzo, Young.
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