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Preheat your oven to 350°Grease a 9-by-5-inch loaf pan with nonstick cooking spray and set aside.
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In a medium bowl, whisk together the flour, cocoa powder, baking soda, and sea salt. Set aside.
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In a large bowl, add the eggs, melted butter, oil, vanilla extract, and brown sugar. Stir until smooth. You might have a few small brown sugar clumps and that is fine.
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Stir the dry ingredients into the wet ingredients. Stir in the shredded zucchini until just combined. Stir in 1 1/2 cups of the chocolate chips.
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Pour batter into prepared pan. Sprinkle the remaining 1/2 cup of chocolate chips over the top of the bread. Bake for 50-60 minutes, or until a toothpick inserted into the center of the bread comes out mostly clean.
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Remove the pan from the oven and set on a wire cooling rack. Let the bread cool in the pan for at least 15 minutes. Run a knife around the edges of the bread and carefully remove from the pan. Let the bread cool on the wire cooling rack until slightly warm. Cut into slices and serve.