Is the word "lodged" in both paragraphs used correctly?

English as a Second Language English Vocabulary, Grammar and Idioms
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Thirteen police reports have been lodged so far on the matter, with most of them found to be false or inconclusive, said Mr Khairy.

Some of them were lodged by recipients who did not experience any side effects after getting their jabs, he was quoted by the Malay Mail news portal as saying.

Is the word “lodged” in both paragraphs used correctly?

Thanks!

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2

Please find a better version of the text below.

So far, thirteen police reports have been filed in the matter, most of which have proven to be false or inconclusive, Khairy said.

Some of them were filed by recipients who experienced no side effects after the vaccination, according to the Malay Mail news portal.

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