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Preheat oven to 425F.
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Line 2 baking sheets with parchment paper.
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Place the flour, sugar, baking powder, baking soda, and salt in a food processor and pulse until combined.
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Add the butter to the dry ingredients and pulse until it reaches a crumb-like texture.
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Pour in the cream. Pulse until it forms a sticky dough.
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Transfer the mixture to a floured work surface. Knead until smooth.
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Then knead in the chestnuts, walnuts, and sage.
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Pat into a circle.
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Cut the dough with a 3” in diameter round cutter.
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Transfer to the prepared baking sheets.
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Brush the tops with cream.
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Bake for 12-15 minutes, or until slightly golden.
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Transfer to a wire baking rack to cool.
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Plate and serve.