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In a small bowl, or onto a sheet of waxed paper, sift flour and baking powder together and set aside.
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In a large mixing bowl, beat butter and sugar together on medium-high speed until light and fluffy, about 5 minutes.
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Add eggs, vanilla and salt; mix on medium-high speed until well combined.
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At low speed, add flour mixture in two batches, mixing just until incorporated.
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Turn out the dough onto a clean work surface. Divide in half; pat into flattened rectangles and wrap each rectangle in plastic wrap. Chill for at least two hours or up to a week.
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Preheat oven to 375 degrees F. Position racks at upper and lower thirds.
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On a lightly floured surface, roll out one rectangle of dough to a thickness of 1/4 inch. Cut into desired shapes and, with a spatula, transfer shapes to parchment-lined baking sheets, about 2 inches apart. Chill in freezer or refrigerator until firm, about 15 minutes. Set scraps aside. Repeat process with second rectangle.
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Gather up all of the scraps, roll out again. Chill for 15 minutes before cutting out shapes and adding to baking sheets.
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If desired, decorate with colored sugar or sprinkles. Placing a baking sheet on each rack and rotating halfway through the baking time, bake until golden around the edges and firm to the touch (anywhere from 7 - 12 minutes, depending on your oven).
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Transfer baked cookies to wire racks and allow to cool completely. Decorate with icing, if desired.
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Cookies can be kept in an airtight container, layered between sheets of waxed or parchment paper, at room tempurature for up to three days.