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Preheat oven to 300°.
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Line baking sheets with Silpats (French nonstick baking mats).
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In the bowl of an electric mixer fitted with the paddle attachment, beat butter and sugar on medium speed until light and fluffy, about 2 minutes.
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Add flour a half cup at a time, mixing on low speed until well combined.
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Remove bowl from mixer; with a wooden spoon or your hands, stir in coconut, sesame seeds, and pecans.
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Divide dough into thirds.
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Roll into logs about 1 1/2 inches in diameter.
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Wrap each log in plastic, and refrigerate until very firm, about 2 hours.
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Using a sharp knife, cut logs into 1/4-inch-thick slices.
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Transfer to prepared baking sheets, about 1 1/2 inches apart.
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Bake until edges are golden, 20 to 30 minutes.
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Transfer sheets to a wire rack to cool.
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Cool for 5 minutes on baking sheets before transferring cookies to wire racks to cool completely.