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MB3 128a: Blood Drawing, Injections and Tooth Removal on Shabbos (316:8)
Drawing blood on Shabbos for a חולה שאין בו סכנה. Having a tooth removed on Shabbos if it's causing a lot of pain.
Having a non-Jewish veterinarian take care of an animal on Shabbos if it's not life-threatening
Blood tests (for diagnostic purposes) & injections on Shabbos
Trapping an animal for pleasure is a מלאכה שאינה צריכה לגופה if you plan on releasing it immediately.