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1
Place brown sugar, currants, pecans, grated apple, 3 tablespoons butter, cream cheese, maple syrup, vanilla extract, cinnamon, and pinch of salt in a saucepan; bring to a boil. Reduce heat; simmer until slightly thickened, about 10 minutes. Leave to cool slightly, about 10 minutes.
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2
Reserve about 1 tablespoon of the 2 beaten eggs for topping. Whisk a small amount of the warm apple mixture into the remaining beaten eggs; whisk the egg mixture into the apple mixture. Return saucepan to low heat; simmer, stirring occasionally, until apple mixture is thickened to the consistency of jam, about 5 minutes. Set filling mixture aside to cool, about 15 minutes.
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3
Preheat oven to 325 degrees F (165 degrees C). Grease a large baking sheet.
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4
Heat milk in a small saucepan over medium heat until it begins to bubble, about 3 minutes. Remove milk mixture from heat; stir in sugar, 2 tablespoons butter, and yogurt. Set milk mixture aside to cool until lukewarm, about 10 minutes; stir in 1 beaten egg and yeast.
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5
Pour milk mixture into a large bowl; stir in the flour gradually until a soft dough forms. Divide dough into two balls; roll each ball out into an oval about 3/16-inch thick on a lightly floured surface, dusting with flour as needed to avoid sticking.
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6
Spread filling evenly over dough to within 2 inches of edges; roll up, jelly-roll style, and crimp the ends of rolls to close; transfer rolls to the prepared baking sheet. Using a sharp knife, make a few diagonal slits in the tops of the rolls. Whisk together the 1 teaspoon white sugar and reserved egg for topping; brush over the surface of the rolls.
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7
Bake in the preheated oven until golden brown, about 25 minutes, turning the baking sheet halfway through baking time. Allow to cool at least 10 minutes before slicing.
