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Grease the bottom of a 9" springform pan and line the sides with parchment paper.
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Set the pan on a large square of heavy-duty foil and press the foil up the sides of the pan.
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Set aside.
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To make the crust, stir the crumbs with the butter until moistened.
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Press into the bottom of the prepared pan.
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Bake in the centre of a 350 degree F oven until set, about 10 minutes.
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Let cool on a rack.
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Meanwhile, in a large bowl, beat the cream cheese until smooth.
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Beat in the sugar until fluffy.
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Beat in the eggs, one at a time.
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Beat in the lemon juice, vanilla and salt, then beat in the sour cream.
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Pour over the crust.
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Set the springform pan in a larger pan and pour in enough hot water to come 1" up the sides.
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Bake in the centre of a 325 degree F oven until the shine disappears and the edge is set yet the centre still jiggles slightly, about 1-1/4 hours.
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Turn off the oven and let cool in the oven for 1 hour.
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Remove from the water and transfer to a rack.
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Remove the foil and let cool completely.
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Cover and refrigerate until set, about 2 hours.
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To make the topping, bring the cranberries, sugar and water to a boil in a small saucepan.
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Reduce the heat and let simmer until saucy and the berries pop but still retain their shape, about 8 minutes.
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Whisk the corn starch into the port until dissolved.
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Gently whisk into the cranberry mixture and return to a boil.
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Boil until thickened, about 1 minute.
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Let cool slightly.
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Cover and refrigerate until cold, about 2 hours.
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Spoon about 1/2 cup of the topping over the cheesecake, leaving 1/2" border.
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Refrigerate for 2 hours.
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Serve the remaining topping as a sauce.