UK National Health Service Website:
FAQ: Can I take [X] for long periods?
[paracetamol]
It’s safe to take paracetamol regularly for many years as long as you do not take more than the recommended dose.
[ibuprofen]
If you still need ibuprofen after taking it for 10 days (or for 3 days if you’re under 18) check with your doctor before continuing. If you need to take ibuprofen tablets, capsules, granules or liquid for a long time and you’re at risk of getting a stomach ulcer, your doctor may prescribe a medicine to help protect your stomach.
It seems like you’ve mistaken what “strong” means.
But I shouldn’t have said “long term”. The dangers of each are different.
Ibuprofen is relatively safe to go a bit over the recommended dose, but not over the recommended duration.
Paracetamol is relatively safe to go over the recommended duration, but not the recommended dose.