Cut the sausage into approximately 2-inch (5 cm) pieces. Heat a little oil in a skillet over medium heat and fry the sausage pieces for 8-10 minutes, until browned and slightly crisp. Set aside.
Shred the cabbage or slice it into thin strips. Finely chop the onions and garlic.
In a large skillet, heat a little oil and sauté the onions and garlic until translucent. Add the cabbage, season with salt and pepper, and sprinkle with Hungarian sweet paprika.
Pour in the vinegar, add the sugar, and cook, stirring occasionally, for 15-20 minutes, or until the cabbage is tender and slightly caramelized.
Meanwhile, peel the potatoes, dice them, and boil in salted water for 15-20 minutes, or until tender. Drain and set aside.
To serve, place the roasted sausage on top of the braised cabbage and serve with the boiled potatoes. Garnish with fresh parsley, if desired.
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