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Whisk the mustard, lemon juice, salt and pepper.
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Slowly add the olive oil, in a steady stream, whisking all the time.
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Put the chicken in a glass baking dish in a single layer and sprinkle salt and pepper over them.
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Pour half the marinade over the chicken.
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Marinate it in the refrigerator for 2 hours.
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Preheat the oven to 350 degrees F.
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Roast the chicken for about 35 minutes or until it is done.
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Pour the remaining marinade over the chicken and cover the baking dish with aluminum foil.
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Let the chicken rest for 10 minutes then serve.