Grate the beets on the large holes of a box grater into a large bowl. Add the cabbage and set aside.
Heat the caraway seeds in a small skillet over medium heat, swirling, until toasted and fragrant, 1 to 2 minutes. Add the oil, vinegar and sugar and stir until the sugar melts. Pour over the beet mixture. Season with salt and pepper. Sprinkle the chives over top.
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