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Serve with mashed potatoes.
In a large, deep skillet with a lid or a Dutch oven, heat the oil and sauté the pancetta over medium high heat for 1 minute. Add the chicken, in batches, and sauté, turning once or twice, for 10 minutes, or until light golden on both sides. Transfer to a plate and set aside.
Add the onions, carrots, fennel bulb and quince and sauté for 5 minutes, or until soft. Add the garlic. When it starts to sizzle, return the chicken to the skillet and add the sweet wine, dry wine, bay leaves, Aleppo pepper or pepper flakes, thyme, rosemary and salt. The liquid should just cover the chicken—add a little water if necessary. Bring to a boil, reduce the heat to low, cover and simmer, turning twice and adding a little more water if necessary, for 1 to 1½ hours, or until the chicken is very tender. Taste and adjust the seasonings.
Transfer the chicken and carrots to a serving platter and cover to keep warm. Cook the sauce for about 5 minutes more, or until thickened. If you like, puree the sauce with a stick (immersion) blender or regular blender. Pour some of the sauce over the chicken, sprinkle with the fennel fronds or parsley and serve, with the remaining sauce on the side.
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