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Preheat the oven to 325 degrees F and lightly grease a 10" Springform pan.
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In a medium bowl, combine graham cracker crumbs, melted butter and sugar. Press into the prepared pan and up the sides about 1 inch up the sides. Bake for 12-15 minutes or until firm no longer moist. When done, reduce the oven heat to 275 degrees F.
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Meanwhile, prepare your filling. In a large bowl, beat cream cheese until smooth.Separate the eggs. Add sugar, egg yolks, lemon juice, vanilla and salt and beat on low speed until smooth.
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Whisk egg whites until stiff and fold into the cream cheese mixture until well mixed.
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Pour into crust and smooth the top. Bake at 275 degrees F for about 1 hour.
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Turn off the oven and let sit in the warm oven for 1 hour. Remove from the oven and let cool to room temperature before chilling in the fridge completely.
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You can serve as is or make the caramel below and pour over the cake.