You know, these caves are alive, not in our sense of the word, no.
But the tunnels, rooms, water ways, and wind that flows through them mimic the functions of truly living organisms.
For example, the draft of air that flows through this area of the cave is comparible to human breathing.
Or, the underground rivers that flow the cave that are comparible to human blood vessels.
althought for every similatiry there are many differences, such as our lifespans.
While a human lifespan is very limited, caves can be impossibly ancient, predating our type of life by millions of years.
Unfortunately, people are generally unable to grasp timespans as long as that, so our ability to comprehend how old caves can be is quite limited.