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Remove any yellow leaves from sprouts and trim off bottoms.
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Using a steamer basket inside of pot, fill pot with about 2 inches of water. Cover and steam sprouts until crisp-tender, about 10 minutes.
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Meanwhile, in a medium skillet, heat oil and saute shallots, about 2 minutes.
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When sprouts are done, drain and add to shallots. Add broth.
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Cover and cook over medium heat, 2 minutes.
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Remove cover and cook 1-2 minutes, until broth is absorbed.
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Season with nutmeg and salt to taste.