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Preheat oven to 350F. Line 6 muffin cups with paper liners.
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In a mixing bowl, whisk together flour and baking soda until no clumps remain. Set aside.
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In a separate bowl, beat peanut butter and vegetable oil with an electric mixer until smooth. Add in carrots, honey, and the egg and beat. Add flour mixture and beat until just combined. Divide the batter into the 6 prepared muffin cups.
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Bake for 22 - 25 minutes or until cooked through. Cool completely before frosting.