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1. Pat shanks dry using a paper towel. Place 1 cup flour on a plate. Season beef with salt and pepper and dredge in flour, shaking off excess. Heat oil in a large Dutch oven over medium-high heat until lightly smoking. Add meat and cook without moving until well browned on first side, about 5 minutes. Flip and cook until browned on second side, about 4 minutes longer. Transfer to a slow cooker.
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2. Add onion, carrots, and celery to the Dutch oven, reduce heat to medium, and cook, stirring occasionally, until vegetables begin have softened, about 7 minutes. Add tomato paste and garlic. Stir and continue cooking until fragrant, about 1 minute longer. Add wine and scrape up any browned bits from the bottom of the pot using a wooden spoon.
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3. Transfer the contents to a slow cooker and add stock, vinegar, oregano, thyme, bay leaves, and ground clove. Season with salt and pepper and cook on low until meat is tender, about 6 hours.
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4. Remove and discard thyme sprigs and bay leaves. Skim fat from the sauce and transfer 1/2 cup of gravy to a medium saucepan. Whisk the remaining 2 tablespoons of flour into the reserved gravy until no lumps remain. Add the rest of the sauce to the saucepan. Whisking frequently, bring the sauce to a rolling boil over high heat and cook until the sauce achieves a gravy-like consistency, about 4 minutes. Season to taste with salt and pepper.
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5. For the Gremolata: Meanwhile, combine parsley, lemon zest, and garlic in a small bowl
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6. Serve with polenta and garnish with the gremolata!