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To prepare the fruit: In a small bowl or a large measuring cup, combine the fruit and your liquid of choice; all of the fruit should be covered. Allow the fruit to soak for 1 hour, to absorb most of the liquid.
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To make and shape the dough: In a large bowl, beat together the sugar, butter, salt, vanilla, and almond extract.
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Add the flour, nuts, and fruit (drained if necessary), stirring until just combined.
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Divide the dough in half. Shape each half into a log about 2" in diameter.
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Place about half the chopped pistachios (45g, a generous 1/3 cup) on a piece of parchment or in a large, shallow bowl. Roll one log of dough in the chopped pistachios to evenly coat the sides. Add the remaining pistachios and repeat with the other log.
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Wrap the logs in plastic, then aluminum foil; chill for at least 2 hours, or freeze for 1 hour.
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Preheat the oven to 300°F. Lightly grease two baking sheets, or line with parchment.
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To cut and bake the icebox cookies: Working with one log of dough at a time (and keeping the other refrigerated), unwrap and cut into 1/4"-thick slices. Place the slices on the prepared baking sheet.
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Repeat with the remaining log of dough.
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Bake the cookies for 25 to 30 minutes, or until they feel firm when gently pressed in the center. They won't brown much; the long, slow bake is designed to prevent them from darkening.
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Remove the icebox cookies from the oven, and transfer them to a rack to cool.
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Storage information: When completely cool, wrap the icebox cookies airtight and store at room temperature for several days; freeze for longer storage.