Because for a drug to be approved, it has to pass the clinical trial process. If the drug passes this process it can be approved. I would assume that during this process, the fever-reducing and pain-relieving properties showed improvements over placebo. I’d also assume that the rate of side effects was relatively low.
Ultimately it doesn’t matter *how* it works as long as it works and has no super unsafe side effects. The FDA has no requirement that you know how a drug works.
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