Heat the olive oil in a heavy soup pan set over medium heat. Add the sausage and cook until browned, about 5 minutes. Add the onion, celery, and garlic; cook until the onions are soft but not brown, about 3 minutes. Stir in the spiced and cook 1 minute.
Ad the lentils, tomatoes, and water. Simmer for 30-40 minutes, or until the lentils are tender. Season with salt, to taste. Stir in the kale and cook until wilted. Remove from heat and stir in the vinegar.