This is Dr. David
most likely yes.
how strong were the tylenol for arthritis at 4:30pm you took? where they extra strength at 500mg each?
if your liver is normal, you have to limit yourself to less than 4000mg of tylenol in a 24 hour period, some doctors say to be on the safe side, stay less than 3000mg.
but two extra strength tylenol is only 1000mg, so you are fine to take another tylenol with codeine. these can constipate you
make sure you take the tylenol 3 with food in your stomach and you might have to use a laxative if you get constipated and don't have a bowel movement
let me know if you have other questions.
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