GMAT Sentence Correction (SC) | Query on parallelism(Advanced parallelism from Manhattan SC)

Wrong: A mastodon carcass, thawed only once AND which is still fresh, is on
display.
Right: A mastodon carcass, which has been thawed only once AND which is still
fresh, is on display.

Is this correct too?

A mastodon carcass, which is thawed only once AND which is still
fresh, is on display


This is from manhattan SC guide. Adavnced parallelism.

Rule- parallel clauses start with the same word.

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