Earlier quoted context omitted.
Society isn't one thing, so perhaps a better definition would be "Biology is the study of a complex thing?" Regardless, pedantry.
To continue the pedantry - what makes society not one thing, but a human one thing? That seems like a matter of perspective.
I guess the definition really is pretty fuzzy and arbitrary. It's "obvious" why a bunny is biology and a car or company is not, but it's not quite so obvious why a virus or an android isn't.
Heck, xenobiology seems to be inherently problematic because alien life would defy all classification. Imagine the "xenomorph" from the Alien universe. Would that be considered a reptile? Is it even a vertebrate? What animal rights legislation would apply to it if any? Would a "grey" count as a person? We like to justify these laws with biological categories but what do we do when faced with situations where the categories break down?
EDIT: Is an artificial, viable sheep-human hybrid an animal or a human?