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Cut the carrots on the diagonal into 3-inch lengths.
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Cut thicker pieces in half lengthwise to make them uniform in size.
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Heat the oil in a 9-inch saute pan over moderate heat.
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Add the carrots and cook until lightly browned on all sides, about 3 minutes per side.
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Season with salt and pepper.
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Add the ginger, garlic, and shallots and cook over medium-low heat, stirring occasionally, until the shallots are softened, 5-7 minutes.
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Add the honey, orange juice, soy sauce and water.
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Cover with a round of waxed paper that fits snugly on the vegetables.
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Cook the carrots slowly on top of the stove, stirring occasionally, until the carrots are tender and the juices have formed a glaze, 30-40 minutes.
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Garnish with the mint.