> the treatment group took 600mg ibuprofen daily for 14 to 44 days to induce the reported effect of compensated hypogonadism
That phrasing is misleading. We don't know if it takes 600 mg for 14 days "to induce" hypogonadism. The study didn't test for that. It only tested if there would be an effect, and as with most pilot experiments, it did so cheaply and quickly.
That's the idea of small sample size experiments such as this. Try a big dose as see if you get an effect at all. If so, that's a jumping off point for more rigorous, expensive studies later on.
600mg per day is the recommended normal adult dosage where doctor's recommend 200mg 3 times a day, although can also be recommended 1200mg. It's not a big dosage.
Doctors can also recommend an even higher dosage of 600mg 4 times a day to about 2400mg a day if needed.
That phrasing is misleading. We don't know if it takes 600 mg for 14 days "to induce" hypogonadism. The study didn't test for that. It only tested if there would be an effect, and as with most pilot experiments, it did so cheaply and quickly.
That's the idea of small sample size experiments such as this. Try a big dose as see if you get an effect at all. If so, that's a jumping off point for more rigorous, expensive studies later on.