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Resift flour with baking powder, soda, salt, cinnamon and ginger into medium bowl.
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Cream butter in large bowl until fluffy.
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Gradually add ¾ cup sugar and beat until fluffy, about 6 minutes.
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Add eggs, one at a time, beating well after each addition.
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Beat in ¼ cup dry ingredients.
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Add pumpkin and buttermilk and mix until thoroughly combined.
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Add remaining dry ingredients and stir until just blended (dough will be slightly sticky).
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Cover and refrigerate atleast 3 hours or overnight.
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Combine brown sugar and ½ cup sugar in paper bag; set aside.
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Roll dough out on lightly-floured surface to thickness of ¼ to 1/3 inch.
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Using lightly-floured 3 ½ inch round doughnut cutter, cut out doughnuts and holes.
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Transfer to floured board as they are cut.
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Gather up scraps and repeat.
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Let stand 10 minutes.
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Heat 4 inches oil in deep fryer to 360F.
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Add ¼ of doughnuts and holes and cook until golden-brown, turning once, about 5 minutes.
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Transfer to paper towels using slotted spoon and drain 3 minutes.
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Immediately transfer to paper bag with sugar and shake to coat.
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Arrange on racks.
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Repeat until all doughnuts have been fried and coated with sugar.
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Can be prepared 1 day ahead.
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Store airtight.