*The article below is an excerpt from the above Sefer
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Broom stick:[1]
Based on the above law, it is not necessary to clean or purchase a new broom stick for Pesach, as even if it contains Chametz, it is less than a Kezayis, is dirty, and are nullified. Nonetheless, some are particular to do so.
Vacuum cleaner:
Based on the above law, it is not necessary to change the vacuum bag before Pesach, as even if it contains Chametz, the individual pieces are less than a Kezayis, are dirty, and are nullified. Nonetheless, the custom is to do so.
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[1] See Nitei Gavriel 76:6