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Zest the limes and set them aside.
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Juice the limes, oranges and lemons and strain the juice. You will need 1 1/3 C. of fresh juice--- 3/4 C. fresh lime juice, 1/4 C. fresh orange juice and 1/3 C. fresh lemon juice. Refrigerate the juices until cold.
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Combine the sugar and water in a small saucepan over medium heat and cook (stirring) until the sugar is dissolved. This will give you a simple syrup for your sherbet. Cool and then refrigerate.
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Combine the chilled juices, the chilled simple syrup and the yogurt and whip to combine. I used a hand-held mixer. You want the ingredients to form a smooth liquid.
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Freeze in your ice cream maker. When the mixture begins to thicken in your ice cream maker, add the lime zest and the 1/2 t. salt. Continue to freeze. Once your sherbet is frozen, serve or store in your freezer.
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Garnish with lime zest and a sprig of mint.