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Preheat oven to 350°F Place a 9-inch cake pan, filled with about 3/4 inch of water, into the oven. Grease a 1 quart (4 cup) souffle dish.
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In a large bowl, whisk together sugar, flour and salt. Add in egg yolks, lemon juice, lemon zest, milk and vanilla and whisk thoroughly. In a medium bowl, beat egg whites to soft peaks. Stir egg whites gently into lemon mixture, until well combined.
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Pour mixture into prepared souffle dish and gently place in water bath.
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Bake for 45-50 minutes, until the cake has risen and begun to pull away from the sides of the dish.
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Serve warm.