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1
FOR THE PASTE: Adjust oven rack to middle position and heat oven to 400 degrees. Pulse all ingredients in food processor until finely chopped, about ten 1-second pulses. Scrape down bowl and continue to process until mostly smooth, 1 to 2 minutes. Transfer to bowl. (Paste can be refrigerated for up to 24 hours.).
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2
FOR THE CHICKEN: Pat chicken dry with paper towels. Sprinkle chicken pieces with 11/2 teaspoons salt and season with pepper.
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3
Heat oil in 12-inch skillet over medium-high heat until just smoking. Add chicken, skin side down, and cook without moving it until well browned, 5 to 8 minutes. Transfer chicken to large plate. Drain off all but 1 teaspoon fat from skillet and return to medium-low heat.
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4
Add 1/3 cup paste to skillet and cook, stirring constantly, until fragrant and fond forms on pan bottom, 1 to 2 minutes. Stir in broth, wine, olives, capers, and bay leaves, scraping up any browned bits. Return chicken to pan, skin side up (skin should be above surface of liquid), and roast, uncovered, for 15 minutes.
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5
Remove skillet from oven and use back of spoon to spread remaining paste over chicken pieces; sprinkle prunes around chicken. Continue to roast until paste begins to brown, breasts register 160 degrees, and leg quarters register 175 degrees, 7 to 12 minutes longer.
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6
Transfer chicken to serving platter and tent loosely with aluminum foil. Remove bay leaves from sauce and whisk in butter, vinegar, and 1 tablespoon parsley; season with salt and pepper to taste. Pour sauce around chicken, sprinkle with remaining 1 tablespoon parsley, and serve.
