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Preheat oven to 325 degrees F (165 degrees C).
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Grease and flour a 10 inch tube pan.
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Cream together 1cup butter or margarine, shortening, brown sugar, and 1 cup white sugar.
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Add eggs one at a time, beating well after each addition.
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Stir in 1 teaspoon vanilla.
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Sift 2 1/2 cups of the flour and baking powder.
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Add alternately with milk to the creamed mixture.
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Stir 1/2 cup flour with the chopped pecans, then fold into the batter.
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Pour into prepared pan.
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Bake in preheated oven for 60 to 90 minutes, or until a toothpick inserted into the center comes out clean.
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Let stand in pan 10 minutes, and then turn out onto a wire rack and cool completely.
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To Make Frosting: In a small saucepan, beat 1 cup brown sugar, 1 cup white sugar, butter or margarine, and milk together.
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Bring to a rolling boil, and cook for one minute.
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Remove from heat, and stir in vanilla.
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Cool, then beat until thickened.
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Add a little milk if it too thick.
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Spread on cake.
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Makes 10 inch tube cake.