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...on how it was handled before you got it, how long it was thawed before you smoked it, how fast it reached safe temp (over 140), type of meat, and fridge temps. A good rule is: if we don't eat it within 24 hours of the smoke, it gets frozen.
If kept in an airtight container -like tupperware or ziploc bag- and the fridge is properly cold, I think a week is okay. This past fall I discovered a single serving bag of pulled pork BBQ buried in the back and ate it to no ill effects other than wishing I had more!