A good parallel structure is one in which the sentences are organized in the same grammatical structure. The revision that gives the sentence a proper parallel structure is;
The information tells us the two things that Livingston had done during the 30 years he spent in Africa. The first was covering a third of the continent and attempting to source the Nile River.
A parallel structure organizes these events in sequence. Adding "had" to the sequence disorganizes the structure.
Therefore option B is right.
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