NSAIDs have ulceration and break through bleeding as possible side effects especially if taken in large quantities even for a short period of time. Muscle relaxants do not list break through bleeding as a side effect but can cause stomach irritation and pain.
Bleeding can be bright red but you need to also watch for "coffee grind" like vomit and/or stool. These are signs of digested blood.
If you suspect internal bleeding it is important to see a doctor right away especially if you are feeling faint, or lightheaded.
Stephanie
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