With four recent United States presidents being left-handed Ford, the elder Bush, Clinton and Obama the stigma associated with left-handedness largely vanishing

This choice employs a gerund phrase "vanishing," which lacks the necessary subject-verb agreement for the sentence. It does not clearly indicate that the action of vanishing has been completed or its relevance to the current state, making it a less effective option.

This option incorrectly uses the passive voice with "being vanished," which is not a standard construction in English. The phrase suggests a state of being that does not fit the context of discussing the stigma, leading to confusion and grammatical awkwardness.

This choice introduces the conjunction "and," which creates a fragmented structure. It fails to connect the ideas correctly, making it unclear whether "left-handedness" is the subject or if it is intended to describe the action of vanishing, thus losing coherence in the sentence.