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Sterilize a glass jar by running it through the dishwasher or by filling it with boiling water before you add the vodka and lemon peels. Peel the zest from a lemon by inserting the blade of a paring knife between the zest and the pith. Place the peels inside a 1 gallon (3.8 L) airtight glass jar with a lid, such as a pickle jar. Repeat the steps until you have peeled approximately 15 lemons. Pour 1 bottle of vodka over the lemon peels and then seal the jar. Place the jar in a cool, dry place, such as a closet, and allow the mixture to steep for approximately 2 to 3 weeks.
Try to remove the yellow peel without removing the bitter white pith beneath the peel. Save the peeled lemons for another use.