They are sometimes sold together as a combination; they have different mechanisms of action. You might want to check your doctor if you're unsure of your risk.
At least in my experience helping my parents, their doctors pretty much never recommend NSAIDs because they're viewed as having "more side effects," especially for older people. My mom has a kidney transplant and my dad has PMR so has been on long-term use of prednisone, and Tylenol makes him exceptionally drowsy. NSAIDs are hard on the kidneys, have a higher risk of stomach bleeding, thin the stomach lining with regular use, etc. On top of that, NSAIDs are generally not recommended with prednisone because it increases the risks of bleeding.
I've heard of others on this forum who have been taking Aleve, Advil, etc. while being treated for PMR, so it's not that it can't be done, but it's hard to know how much is "too much" since our bodies all respond differently.
As for me, I have only one kidney so my nephrologist told me never to take NSAIDs but that's kind of ridiculous because I have very bad period and migraine pain and Tylenol is pretty much useless for those conditions, but that's the only thing they would let me take when I was hospitalized and I was super-annoyed, so maybe that has something to do with my antipathy for Tylenol lol. I understand why Tylenol is usually "recommended," but if it doesn't work for someone, what's the point? It's just a personal pet peeve of mine that in hospitals and with doctors in general, they usually point to Tylenol, not recognizing that it's known not to work for all people for pain relief. That's a "me" thing.
So I just take as a little NSAIDs as possible. It's a treatment for the inflamatory arthritis and OA I do have, but I know I can't take it regularly because it's too much of a risk with my pre-existing GI issues and one kidney. My PCP gave me a prescription for Celebrex to take as needed, which she said has some evidence to show it's "easier" on the kidneys. And that's the risk I'm okay with, so I do it.
Do you think Gabapentin would be helpful to you?
My pain management specialist prescribed for me to take 200 mg daily (I take it before bedtime). This was prescribed following a fractured pelvis I suffered early last year after mis-stepping off the lower rung of a step ladder. My back was injured from the fall too, with a resultant effect of 3 disc bulges and two other sets of vertebrae compressed with no disc cushioning.
That's not a high dose of gabapentin, I realize. I also find some relief at bedtime with also taking 50 mg of diclofenac (Cataflam). I don't know how much of a blood thinning effect that has.
Yet my wife, who is really fraught with dual hip pain, neck arthritis, and full spinal arthritis (bone spurs) is taking 600 mg of Gabapentin a day.
Neither one of us has any debilitating kidney or other organ issues, although my wife is on the edge with kidney failure related to high creatinine levels.