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To make the filling: Preheat the oven to 350°F. Lightly grease (or line with parchment) a medium baking pan; an 8” square or 9” round pan work well here.
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In a medium bowl, toss the sliced pears with the lemon juice, then sprinkle with the sugar, cinnamon, flour, and salt.
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Transfer the filling to the prepared pan, cover with aluminum foil or an oven-safe cover, and bake until the pears are soft, about 15 to 25 minutes depending on the ripeness of the pears.
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Remove the filling from the oven, uncover it, and set it aside to cool to room temperature.
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To assemble the turnovers: Increase the oven temperature to 375°F and line a baking sheet with parchment.
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Remove the pastry from the refrigerator and set it on the counter to soften for 10 minutes.
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Lightly dust a work surface with flour. Unwrap the dough and place it on the floured surface.
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Dust the top of the dough with additional flour and roll it into a 10” x 15” rectangle. Trim any ragged edges with a bench knife or chef’s knife.
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Divide the dough in half lengthwise then divide the two halves into thirds, yielding six 5” squares.
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Divide the filling evenly among the six squares, leaving 1/2" of the dough bare all around the edges. Top each with a heaping teaspoon of caramel sauce; a teaspoon cookie scoop works well here.
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Fold one corner of the pastry diagonally to the opposite corner to make a triangular turnover. Seal the edges with your fingers or the tines of a fork and place the turnover on the prepared baking sheet.
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Repeat folding and sealing the remaining turnovers. Place the baking sheet in the refrigerator to chill the pastries for 20 minutes.
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Remove the turnovers from the refrigerator and brush the tops with egg wash. Make three or four diagonal slashes in the top crust of each, to vent steam.
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To bake the turnovers: Bake the turnovers for 25 to 30 minutes, until they’re golden brown. Remove them from the oven, and place on a rack to cool briefly.
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Serve turnovers warm, with additional caramel sauce and/or ice cream if desired.
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Storage information: Store turnovers, lightly wrapped, at room temperature for several days; freeze for longer storage.