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When you are ready to roast your dinner, spread out the chicken thighs over one large rimmed sheet pan large enough to accommodate the chicken thighs, the marinade, sweet potatoes and shallots. Spread out the sweet potatoes and shallots between and around the chicken thighs. You want enough space for air to circulate around the chicken and potatoes, but not too big to dry up all the juices. The area of my sheet pan for the chicken was approximately 11.5 x 16 inches (29 x 40 cm).
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Spread the broccoli and garlic cloves over a small sheet pan approximately 8.5 x 11.5 inches (21.5 x 29 cm).
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Place each sheet pan on its' own rack in the middle of the oven and bake for 20 minutes.
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After 20 minutes switch the two sheet pans, from top to bottom and front to back for even roasting. Continue to bake for 20 more minutes.
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Check the chicken thighs for doneness. Pierce the biggest thigh with a fork, if you feel some resistance the chicken it is not done. Also, the juices from the chicken will run clear when the chicken is done. If the juices are cloudy or pink, the chicken needs more time to cook. The internal temperature of properly cooked chicken is 165°F/ 74°C. The potatoes and broccoli are done when they feel soft through the middle when pierced with a fork. If the broccoli is finished cooking before the chicken, remove it from the oven and keep warm.
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When the chicken is done, turn on the broiler and remove the broccoli if you have not done so already. Baste the chicken with any pan juices and broil the chicken for a couple of minutes to brown the edges of the chicken to your likeness.
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When the meal is done roasting, arrange the chicken, sweet potatoes, broccoli, garlic, and shallots on one serving platter then pour any pan juices over the chicken. Place on the dining table. Or arrange the food on a plate for individual servings. Make sure to include any accumulated juices from the chicken, a garlic clove and shallot on each plate. Each person can squeeze the garlic out of its peel and spread it on the broccoli or potatoes. Garnish with fresh tarragon.
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Serve immediately.