Rif Pesachim 2b {Pesachim 5b continues ... 6a}

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2b

{Pesachim 5b continues}
and of the Temple, so too in the houses it is so.

Master said: I would think you could hide and accept deposits from the gentiles. Therefore it teaches {Shemot 12:19} לֹא יִמָּצֵא. {This implies that that of gentiles is forbidden.} But you said in the beginning, "of yours you may not see, but you may see that of others and of the Temple." {This implies that that of gentiles is permitted!} This is no contradiction. This is where he accepted responsibility upon himself, and here is where he did not accept responsibility upon himself. For if he accepted upon himself, it is forbidden, for it is like his own.

Just as Rava said to the residents of Mechoza: Remove the leaven belonging to the troops from your home, since if it is stolen of lost, it stands in your possession, and you will need to pay, it is considered as if it is yours.

And if he did not accept upon himself responsibility, it is permitted.

{Pesachim 6a}
Rava said: Cattle which will go to arnona {tax} is exempt from bechor (even though he may remove it from being paid as tax via its monetary equivalent). Dough which is liable as arnona {tax} is obligated in challah, even though he may not put off the tax with {equivalent} money. What is the reason? An animal has a voice {=it will be well-known} that it belongs to a gentile. Dough does not have a voice that it belongs to a gentile.

(Rav Yehuda cited Rav: If one finds chametz on Yom Tov, he overturns a vessel upon it.
And Rav Yehuda cited Rav: For the chametz of a gentile, he makes it a partition of 10 handbreadths.)

And Rav Yehuda cited Rav: He who goes out to sea, and one who sets out in a caravan, before 30 days {to Pesach}, is not bound to remove it {the chametz}. Within 30 days he must remove it.

Rava said: This that you said, "before 30 days he is not bound to remove it," this is only if it is not in his mind to return {during Pesach}. But if it is in his mind to return, even before 30 days he must remove it.

And Rava is consistent, for Rava said: One who makes his house into a storage house before 30 days, he need not remove it, while within 30 days, he must remove it. And they only said this where it is not in his mind to clear it {the storehouse}, but if it is in his mind to clear it, even before 30 days he also is bound remove it.

Why this business of 30 days? As they learn {in the brayta}: They ask questions regarding the laws of Pesach