In a Dutch oven or medium pot heat the olive oil, 2 turns of the pan, over medium to medium-high heat. Add the sausage and brown and crumble. Add the garlic, carrots, celery and onions, and cook to soften, 10 minutes. Stir in the wine and let it absorb, then add the stock, tomatoes, cinnamon, clove and nutmeg. Bring the sauce to a bubble. Season with salt, and then stir in the basil. Simmer gently for about 15 minutes, stirring occasionally. Cool the sauce and store for a make-ahead meal.
Reheat over medium heat and stir in the milk, cooking until well incorporated.
Heat a large pot of salted water to boil, and then cook the pappardelle to al dente. Reserve a cup of the starchy cooking water just before draining the pasta.
Return the pasta to the drained pot and toss with half of the sauce and some starchy water. Serve the pasta in shallow bowls topped with extra sauce and some grated Pecorino-Romano.