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The sentence uses a present participle as part of a verb is The children were roaming through the field without a care in the world.
What is present participle?
A participle that regularly communicates present activity comparable to the time communicated by the limited action word in its proviso and that in English is framed with the addition - ing and is utilized in the development of the ever-evolving tenses.
The present, past, and future ceaseless tenses are shaped with the present, past, or fate of the action word to be and the current participle, i.e., the type of the action word that finishes in - ing: I am getting as far away as possible. We were sitting in the inn entryway.
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