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A goal from Ricky Miller earned Dover their third win of the season and moved them out of the bottom three in the Vanarama Conference.
Miller struck after after 38 minutes at Crabble and it was enough to see off visitors Alfreton Town.
The win saw Dover go above their visitors on goal difference and move the Whites into 19th spot, one place and two points behind Kent rivals Dartford who also won, beating fellow strugglers Nuneaton 2-1.