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Refill, renew,
That is the correct spelling of the adverb "convincingly" (believably, plausibly).
May, could, could possibly, could plausibly, beyond that you have more complex phrases.
if kept in a cool place away from sunlight - plausibly several months after opening
Because otherwise the accused can plausibly maintain that he intended it as a joke, and did not believe that his representations would be believed.