Relying exclusively on radio communication, both to transmit messages

Correct Option C

(A) messages,
the search for extraterrestrial life by SETI,
the most heavily funded project of this kind,
will likely be
Wrong:
1 - Modifier error,
2- "Project of this kind" is wrong structure used, in place of "this", must be "its"

(B) messages,
SETI has been the most heavily funded project of this kind,
yet the search for extraterrestrial life would likely have been
Wrong:
1 - "would" is for condition, probabiliy might happen, demean the intended purpose of sentence
2- "Project of this kind" is wrong structure used, in place of "this", must be "its"

(D) messages,
SETI is the most heavily funded project of this kind and
would likely, in searching for extraterrestrial life, be
Wrong:
1 - "would" is for condition, probabiliy might happen, demean the intended purpose of sentence
2- "Project of this kind" is wrong structure used, in place of "this", must be "its"

Between C, and E; Option C is correct
(C) messages, SETI is the most heavily funded project of its kind, yet the search for extraterrestrial life will likely be

Eliminate E
(E) messages, SETI is the most heavily funded project of its kind, though the search for extraterrestrial life would be
Wrong:
1 - "would" is for condition, probabiliy might happen, demean the intended purpose of sentence
2. "though" is a contrast situation, demeans the intended meaning purpose of the sentence

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