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Trim pork of any excess fat. Scatter onion over bottom of slow cooker and place pork on top. Add broth, cover and cook on low until very tender, about 8 hours. Remove meat and let cool.
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When cool enough to handle, pull meat into thin shreds, removing all fat and gristle. Skim excess fat from liquid in slow cooker.
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Return pulled pork to slow cooker and stir in barbecue sauce, mustard, honey and soy sauce. Season with salt and pepper. Cook for 1 hour longer on low.