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1
Mix warm milk, sugar, and yeast together in a small bowl until dissolved. Set aside and allow yeast to proof until foamy.
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2
Whisk eggs and cooled melted butter together in a bowl and set aside.
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3
Whisk 2 cups all-purpose flour, whole wheat flour, sugar, and salt together in a large bowl. Pour yeast mixture into flour mixture and stir gently to combine. Mix in egg mixture and continue to stir until a sticky dough forms.
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4
Turn out onto a lightly floured surface and knead in remaining 1/2 cup all-purpose flour a little at a time until dough is no longer sticky. Continue kneading until dough is smooth and elastic, 8 to 10 minutes, using additional flour if necessary. Place dough into a greased bowl and turn to coat. Cover and place in a warm, draft-free area. Allow dough to rise until doubled in size, 1 to 2 hours.
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5
Meanwhile, combine cranberries, brown sugar, orange juice, orange zest, cornstarch, vanilla extract, cinnamon, cloves, nutmeg, and salt in a saucepan. Cook over medium heat, stirring constantly, until mixture begins to bubble and thicken slightly, about 5 minutes. Remove from heat and allow filling to cool to room temperature.
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6
Line a 9x13-inch baking pan and a 6-inch cake pan with parchment paper and lightly grease both pans.
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7
Turn risen dough out onto a lightly floured surface. Roll out into a rectangle approximately 21x14 inches. Place cranberry filling on the dough leaving a 1/2-inch border on all sides. Roll dough up starting at a long side. Pinch ends to seal dough and lay seam-side down on a cutting board. Use a very sharp or serrated knife to cut into 15 rolls, each about 1 1/4-inch thick. Place rolls cut-side up in the prepared pans, 12 in the baking pan and 3 in the cake pan.
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8
Loosely cover pans and allow rolls to rise until doubled in size, 30 to 45 minutes.
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9
Preheat the oven to 350 degrees F (175 degrees C).
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10
Bake in the preheated oven until buns are golden brown on top, 22 to 27 minutes. Allow to cool in the pans for several minutes before transferring to a serving plate.
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11
Whisk confectioners' sugar, heavy cream, vanilla extract, and salt together in a bowl until smooth. Add more cream to thin or more sugar to thicken, if needed. Pour glaze over slightly warm rolls before serving.
