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Sauté onion in butter
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Set aside
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Melt butter in sauce pan over medium high heat, add flour using a whisk for 3-5 minutes
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Stir constantly and add the fat-free half & half
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Add the chicken stock
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Simmer for 20 minutes
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Add the broccoli, carrots and onions
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Cook over low heat 20-25 minutes
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Add salt and pepper
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Puréed in a blender
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Return to heat and add cheese
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Stir in nutmeg