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Filling: Grate the lemon zest and set aside. Peel, core and slice both the apple and pears into 1/2-inch slices. Squeeze the lemon juice over the fruit, then toss fruit with the sugar, salt and nutmeg. In a seperate bowl, toss the strawberries with cocoa powder and ginger. Melt butter in a large skillet over medium-high heat. Add the pears and cook, stirring until the sugar dissolves and juices simmer, about 2 minutes. Reduce heat to medium, and cook, uncovered, until the fruit softens and the juices evaporate some, about 10 minutes. Add the strawberries. Evenly mix in flour. Then cook about a minute more to thicken the juices more. Stir in the vanilla and lemon zest; and remove from the heat. Cool completely and set aside. Roll a disk of pie dough into an 11 to 12-inch circle. Transfer the dough to 9-inch glass pie pan, trimming so it hangs over the edge. Fill the crust with the fruit. Roll the remaining dough into a 12-inch circle. Brush the rim of the crust with some of the egg. Roll the dough onto the rolling pin and unroll it over the fruit so it hangs over the edge of the pie pan by about 1/2-inch. Fold the top crust edge under the bottom one, then press together to seal. Refrigerate the pie for at least 20 minutes. Meanwhile, heat the oven to 425 degrees F. Brush pie with egg and sprinkle sugar. Cut 6 to 8 small steam vents on top. Place pie on a baking sheet and cook for 15 minutes, then reduce to 375 degrees F. Bake until the crust is golden brown, about 50 minutes more. If the edges begin to brown too quickly, cut a piece of aluminum foil and cover the edges with it. Cool and serve.
