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In a large bowl, beat butter and sugar on medium high speed until light and fluffy, about 3 minutes.
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Add eggs, one at a time, mixing completely after each addition.
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Reduce speed to medium, and add bananas, sour cream, and vanilla. Mix until thoroughly combined.
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Reduce speed to low, and add all-purpose flour, baking soda, and salt, and mix until just combined.
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Pour one-third of the batter into the prepared pan. Sprinkle half of the prepared filling evenly over the batter. Repeat this layering process with the remaining batter and filling.
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Bake until a toothpick inserted near the center comes out clean, about 55 to 75 minutes. Cool in the pan for 15 minutes, then transfer to a wire rack to cool completely.