The first time Stubb lowered with him, Pip evinced much nervousness; but happily, for that time, escaped close contact with the whale; and therefore came off not altogether discreditably; though Stubb observing him, took care, afterwards, to exhort him to cherish his courageousness to the utmost, for he might often find it needful.
There are no more uses of "exhort" in the book.
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I have exhorted and encouraged her, but it has to be her decision.
The organization exhorts people to be environmentally conscious.