The verb argue here, because it expresses the idea
of arguing for a position or theory, should be
followed directly by a clause introduced by that,
without a pause. Verb forms ending with -ing
with understood subjects, like the one beginning
this sentence, must have their subject supplied
elsewhere—preferably by the subject of the main
clause.
A) Correct. Argue is followed immediately
B)by a that clause, and the subject of using is
supplied by anthropologists.
Argue is not directly followed by a that
clause; moreover, by continuing with so ...
the sentence does not coherently express
the intended idea.
C) Argue is not directly followed by a that
clause.
D) The subject of the main clause, these
human ancestors, will illogically be taken as
the subject of using.
E) The subject of the main clause, these
human ancestors, will illogically be taken as
the subject of using.