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Preheat oven to 350 degrees. Spray an 8 inch baking pan with cooking spray. In a small bowl, combine milk, oil, applesauce, 1 egg, and vanilla. Mix well. In a medium bowl, combine flour, 3/4 cup sugar, cocoa, and baking powder. mix well. Stir in chocolate morsels and walnuts. Add the milk mixture. Mix well. Reserve 1 cup of batter. Pour the remaining batter into prepared pan. In a small bowl, combine cream cheese, remaining egg, and remaining sugar. Stir until smooth. Pour filling over batter in pan. Drop reserved batter by Tablespoons over filling. Draw a small knife through batter for a marbled effect. Bake until a toothpick inserted in center comes out clean, about 25 minutes. Cool in pan on wire rack. Cut into squares.
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