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In a large saucepan, melt the butter in the olive oil. Add the cabbage, shallots and a pinch of salt and cook over moderately high heat until wilted, about 5 minutes. Cover and cook over moderately low heat, stirring occasionally, until tender, about 10 minutes. Season with salt and pepper and serve.
Simple and delicious. (and I only used olive oil. butter would be even more so)