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Preheat oven to 325 degrees F
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Have ready a 9 x 13 x 2 inch square baking pan that has been lined with aluminum foil across the bottom and up two opposite sides of the pan. Set aside.
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Graham Cracker Crust: In a small bowl combine the graham cracker crumbs, sugar, and melted butter.
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Press mixture evenly over the bottom of the prepared pan. Bake in preheated oven for 10 minutes. Set aside to cool.
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Increase the oven temperature to 350 degrees F (180 degrees C).
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Cheesecake Filling: With a hand mixer, beat the cream cheese until smooth.
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Add the sugar, lemon juice, and vanilla extract and beat until smooth.
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Add the eggs, one at a time, beating until incorporated.
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Pour the cheesecake filling over the graham cracker base and bake for about 20 minutes or until the cheesecake batter is just set.
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Remove from oven and place on a wire rack to cool.
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Place in the refrigerator for a few hours to make the squares easier to cut.
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To cut into squares - place on a cutting board, remove the foil, and with a sharp knife, cut into 2 inch squares.