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Preheat oven to 350 degrees F. and prepare a 9-inch round cake pan by greasing it and putting a round of parchment paper in the bottom of the pan.
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Whisk the flour, cinnamon, ginger, salt and baking soda together in a large bowl. To the flour mixture, add eggs, sugar, buttermilk, applesauce and oil. Whisk until all the ingredients are combined. Scrape the batter into the prepared pan and smooth the surface of the batter.
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Bake the cake for about 55 minutes at 350 degrees F. (Mine was baked at about 45 minutes, so you need to watch your cake carefully.) When it is done, the cake will be firm to the touch. You can further check for doneness by using a wooden toothpick or skewer inserted into the middle of the cake. The skewer should come out clean. Remove the cake from the oven and let it cool to room temperature.
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Invert the cake onto your counter. Remove the parchment. Invert the cake again (onto your serving platter).
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Frost the cake with the cream cheese frosting. Press the finely-chopped pecans around the edges of the cake.