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In a the same bowl, beat the cream cheese and pumpkin until smooth.
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Add the eggs, vanilla, and butter, and beat together.
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Slowly add powdered sugar, pumpkin pie spice and mix well.
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Spread pumpkin mixture over cake batter and bake for 45 to 50 minutes, until the center is mostly set.
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If desired, sprinkle with powdered sugar or serve with whipped cream.