Step 1

Heat 1 tablespoon oil in a large pot over medium heat. Add sausage and cook, stirring occasionally and breaking up with the spoon, until browned, 4 to 6 minutes. Transfer to a plate.

Step 2

Add the remaining 2 tablespoons oil, onion, carrot and celery to the pot; cook, stirring occasionally, until softened, about 5 minutes. Add garlic and paprika; cook, stirring, for 30 seconds. Add potatoes, Brussels sprouts and broth; bring to a boil over high heat. Reduce heat to a simmer and cook, stirring occasionally, until the potatoes are tender, 6 to 8 minutes.

Step 3

Stir in the sausage, vinegar, salt and pepper. Serve sprinkled with parsley.