To prepare the cranberries, rinse well and, while they're still wet, dredge them in granulated sugar. Evenly spread the cranberries out on a small baking sheet and freeze for 2 hours.
To prepare the drink, fill a martini shaker 3/4 full with ice. Add the cranberry juice, vodka, Cointreau, and lime juice. Shake vigorously. Strain into two chilled martini glasses and garnish with the cranberries.
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