Dredge the veal shanks in flour, shaking off any excess.
Heat olive oil and butter in a large skillet over medium-high heat. Brown the veal shanks on all sides, then remove and set aside.
In the same skillet, sauté the chopped onion, diced carrots, celery, and minced garlic until softened.
Stir in the tomato paste and cook for 1-2 minutes. Deglaze the pan with white wine, scraping up any browned bits.
Add the chicken stock, bay leaves, salt, and black pepper. Return the veal shanks to the skillet and bring to a simmer.
Cover and cook on low heat for 1.5-2 hours, turning the shanks occasionally, until the meat is tender and falls off the bone.
To prepare the gremolata, finely chop the parsley and garlic. Mix with lemon zest in a small bowl.
Serve the osso buco hot, garnished with gremolata, alongside risotto or crusty bread.
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