Daf HaYomi B'Halacha Daily Email - 25 Kislev/Nov 29

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What should be done with frayed tzitzis strings? Mitzvah objects (e.g. tzitzis, daled minim) may be discarded upon completion of the mitzvah. Unlike tashmishei kedusha (e.g. tefillin, Sifrei Torah), they do not have inherent holiness and do not need to be buried. Nevertheless, they must be treated with dignity and cannot be disposed of in a disgraceful way. They should not be directly tossed into a rubbish pile. If, however, they were left out and another person threw them away, it is not necessary to retrieve them from the garbage. Although it is not halachically necessary, it is praiseworthy to bury used mitzvah objects. [שו"ע תרסד, ח, משנ"ב כח-כט, ושעה"צ כ; ביאורים ומוספים דרשו, 22]