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1
In a very large mixing bowl (or a 12-quart non-reactive pot, or two 6- to 8-quart pots), combine all ingredients except ham and sausage. Cover and refrigerate for 24 hours.
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2
When ready to cook, place all in a pot with the ham and sausage. Bring to a boil, then lower heat, cover, and strongly simmer (preferably without skimming), for 1 hour; stir as needed to keep beans from sticking.
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3
Reduce heat and slowly simmer, covered, between 2 and 4 hours, or until mixture is very thick and beans are tender. During the slow-simmering process, stir frequently, especially toward end of cooking time, adding more water to pot only if dish seems too dry.
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4
About 1 hour before done, periodically mash some of the beans with a potato masher, scraping pan bottom clean after each mashing; try to mash about 40 percent of the beans.
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5
Serve immediately over rice or, preferably, let beans cool and refrigerate overnight. Reheat for serving.