3 tablespoons extra-virgin olive oil
3 pounds trimmed boneless pork shoulder, cut into 3-inch pieces
Salt and freshly ground black pepper
1 pound sweet Italian sausages
3 ounces pancetta, sliced
1/4 inch thick and cut into 1/4-inch dice
1 large onion, coarsely chopped
8 garlic cloves, coarsely chopped
2 medium carrots, cut into 1/2-inch pieces
1 cup dry red wine
One 28-ounce can whole tomatoes, chopped, juices reserved
One 28-ounce can tomato puree
2 thyme sprigs
1 rosemary sprig
1/2 cup water
2 pounds spaghetti
Freshly grated pecorino cheese, for serving