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In a mixing bowl, cream sugar, butter and vanilla until light colored.
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Beat in eggs.
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In a large bowl, sift together flour and baking powder.
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In a separate small bowl, dissolve the baking soda in the buttermilk.
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Stir the egg mixture and buttermilk mixture into the dry incrementally. The dough should be stiff.
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Refrigerate overnight.
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Preheat oven to 350°F (175°C)
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Roll dough out on a lightly floured surface to 1/4 inch thick.
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Cut with cookie cutters and arrange on cookie sheets.
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Bake at 350° for 8-10 minutes.