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In a medium bowl, combine flour, salt, and baking soda. Set aside.
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In a large bowl, beat butter and sugar until light and fluffy. Add the eggs, and vanilla and beat until combined.
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Add the flour to the butter mixture and beat until it becomes and smooth dough. Divide the dough in half and wrap each half in plastic wrap. Chill in the refrigerator for an hour.
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After the dough has chilled, preheat the oven to 350 F. Line two baking sheets with parchment paper.
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Remove half of the chilled dough from the refrigerator. On a lightly floured surface, roll the dough to about ¼ inch thickness.
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Use cookie cutters to cut out desired shapes, placing cut cookies onto the prepared baking sheets.
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Place the baking sheets with the unbaked cookies into the refrigerator for 15 mins. This helps the cookies keep their shape when they are baked.
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Bake the cookies for 8-10 minutes or until the edges are just starting to brown. Let them cool on the baking sheet for 2-3 minutes before transferring them to a wire rack to cool completely.