One who buys for seed or for domestic animals, flour for skins, oil for lighting, or oil for utensil grease; [these are] exempt from <i>Demai</i>. [Areas located] from K’ziv and beyond are exempt from <i>Demai</i>. The <i>Challah</i> [dough that must be set aside for the priest] of an <i>Am HaAretz</i>, and a mixture of regular produce with <i>Terumah</i> [produce consecrated for priestly consumption], and that which was bought with money of the second tithe, and the remnant of the meal offering, are exempt from <i>Demai</i>. Fragrant oil is obligated by the school of Shammai, and the school of Hillel exempts.
Tosefta Demai
[One who] purchases [produce] from a caravan [see Jastrow, cf. Dem. 4:7 (חַמָּרִים)] in Tyre or from the stores [see Jastrow (מוגירות)] in Zidon is exempt [from the laws of Demai], [but one who purchases] from the stores in Tyre or from a caravan in Zidon is liable. Rabbi Yosei son of Rabbi Yehudah says, [one who] buys from the stores in Tyre -- and there is no need to say "from a caravan" but [even from] a single donkey-driver in Tyre -- is liable. Rabbi Yehudah says, [produce purchased from] a caravan coming down to Cheziv is liable because the presumption is that it is (i.e., originated) from the Galilee [and thus is carrying produce grown in Israel, which must be tithed]. And the sages say, behold, it is presumed exempt until it is known [with certainty] from where it came.
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Tosefta Terumot
We may not [use terumah spices to] produce aluntit wine (=œnanthe, a health elixir made of aged wine, clear water, and balsam, either drunk or applied to the skin, see Jastrow, Avodah Zarah 30a:2), or spiced oil, and if one did produce aluntit wine or spiced oil, one may [post-facto] anoint himself with the oil but may not anoint himself with the aluntit wine or vinegar*, as oil is ordinarily used for anointing but wine or vinegar* are not normally used for anointing. [*Note: The GR"A strikes "וחומץ"= "or vinegar" here.]