PPP (short run)

Essentially, PPP does not hold because of the fact that carry trades are profitable. PPP would hold (for financial assets at least) if uncovered interest parity held. However, the proliferance of carry trades implies that uncovered interest parity does NOT hold.
 
can we say that, if uncovered interest rate parity holds..then covered interest rate parity also could have hold ?
but it’s not other way around ! plz correct me if m wrong…
 
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