Sentence Correction (SC) | A recent poll indicates that many people in the United States hold a

Hellojabhatta2 ,

We hope this finds you well.

To answer your query, "while at the same time supporting..." is a present participle phrase that modifies the preceding clause; thus, it does not have its own subject, as such, rather it acts upon the subject of the preceding clause ("they" in this case).

Such
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