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Preheat oven to 350 degrees.
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Make the crust by combining the graham cracker crumbs with melted butter and sugar in a small bowl.
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Press the crust mixture into an 8-inch pie pan.
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Prepare the cream cheese filling by mixing cream cheese with 1/4 cup sugar, vanilla and an egg using an electric mixer.
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Mix well until smooth.
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Pour cream cheese filling into graham cracker crust and bake for 30 to 35 minutes or until center is cooked.
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A knife stuck in the middle of the filling should come out mostly clean.
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As the pie cools, make the lemon filling by combining 1/2 cup sugar with cornstarch, salt and water in a small saucepan.
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Set mixture over low heat and bring to a simmer, stirring often.
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Whisk in egg yolks, then add lemon juice and butter.
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When mixture simmers again remove it immediately from the heat.
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Pour the lemon filling over the cream cheese filling, and let the pie cool.
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When cool, chill pie in the refrigerator for several hours before serving.
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Slice into 6 pieces to serve restaurant-size portions.