Mishnah Niddah 6:7: Any [livestock] that has the requirement of the first shearing [i.e. the obligation, when one shears one's sheep, to give a portion of the fleece to a priest] also has the requirement of the [priestly] gifts [i.e. when one slaughters an animal, the requirement to give certain portions of it to a priest]. But there may be [livestock] that has the requirement of the [priestly] gifts but does not have the requirement of the first shearing.

כֹּל שֶׁחַיָּב בְּרֵאשִׁית הַגֵּז, חַיָּב בַּמַּתָּנוֹת. וְיֵשׁ שֶׁחַיָּב בַּמַּתָּנוֹת וְאֵינוֹ חַיָּב בְּרֵאשִׁית הַגֵּז:

Mishnah Niddah 6:8: Any [produce] which is subject to [the obligation of] removal [i.e. the requirement to remove all of it from one's home during the sabbatical year once it is no longer available in the fields] is also subject to [the requirements of] the sabbatical year [i.e. one must give up ownership of its growing crop, and one cannot sell it for profit]. But there may be [produce] that is subject to [the requirements of] the sabbatical year but is not subject to [the obligation of] removal.

כֹּל שֶׁיֶּשׁ לוֹ בִעוּר, יֶשׁ לוֹ שְׁבִיעִית. וְיֵשׁ שֶׁיֶּשׁ לוֹ שְׁבִיעִית וְאֵין לוֹ בִעוּר: