Mix the vinegar, brown sugar, 2 tablespoons water and 1 1/4 teaspoons salt in a large bowl. Add the black-eyed peas and red onion, toss well and set aside to marinate.
Meanwhile, preheat a grill to medium. Brush the cabbage wedges all over with 2 tablespoons olive oil and season with salt and pepper. Grill the kielbasa and cabbage, turning halfway through, until charred and the cabbage is crisp-tender, 8 to 10 minutes.
Chop the cabbage into bite-size pieces and add to the black-eyed pea mixture. Stir in the parsley and remaining 1 tablespoon olive oil; season with salt and pepper and toss. Divide among plates. Slice the kielbasa and add to the plates. Serve with mustard.
Tools You May Need
Photograph by Ralph Smith
Tools You May Need
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