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Preheat oven to 350° F. Butter 2 (8"x2") round cake pans. Dust with flour, knocking out excess.
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Whisk together flour, baking powder, cinnamon, salt, nutmeg, cloves, and allspice in a medium bowl.
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Combine apple cider and lemon juice in a small measuring cup.
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Beat butter in a large bowl with an electric mixer at medium-high speed until light and fluffy, then add brown sugar and beat until combined. Add eggs, one at a time, beating well between additions.
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Reduce speed to low. Add flour mixture and cider mixture alternating in 3 batches, beginning with flour mixture. Mix until just combined.
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Divide batter between cake pans and tap on work surface to release air bubbles.
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Bake layers until they begin to pull away from the sides of pans and a cake tester comes out clean, 25-30 minutes.
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Cool in pans for 5 minutes, then invert on to cooling racks until cooled completely, at least 1 hour. (I let mine cool and then placed (with parchment paper between layers) in fridge over night before icing.)
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!Buttercream:
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Whisk together sugar, cornstarch, and salt in a sauce pan. Whisk in cider. Bring to a boil over medium heat, whisking constantly for about 1 minute. Mixture will become quite thick. Transfer to a metal bowl that is set in a larger bowl of ice water. Stir occasionally until cool.
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Beat butter in a large bowl with an electric mixer at medium-high speed until light and fluffy. Add 1/3 of cooled cider mixture and beat until incorporated. Add remaining cider mixture and beat until well blended and smooth.
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When cakes are cool, arrange 1 layer flat side up and spread with 3/4 cup buttercream. Top with second layer and frost top and sides with remaining buttercream. Chill 2 hours before serving to allow buttercream to set.
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* cake will keep chilled nicely for 1-2 days.
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!Cranberries:
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Place sugar and water in pot and heat until simmering (not boiling) and stir until sugar is dissolved. Place cranberries in pan and submerge. Make sure cranberries are well coated.
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Using a slotted spoon transfer coated to cranberries to a wire rack to dry for an hour, but not longer than a couple of hours (they'll become too dry to be coated in the sugar) OR roll in a piece of paper towel.
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Place cranberries in small batches into the granulated sugar in a shallow pan or bowl and roll cranberries through sugar to coat.