There is a word "empty flower" in Buddhist scriptures, which can illustrate this problem.
When our eyes have problems, we will see shining flowers in the sky (similar to seeing stars). These flowers, in essence, have never been born. When the eyes are well, the flowers in the air will disappear. But this flower is not so-called "extinction" in essence, because it has never been "born".
Empty flowers in sick eyes are all transformed by eye diseases. Everything in the world is transformed from self because of ignorance.
Everything in the world, born, aged, died and reincarnated, just like that "empty flower", is transformed from ignorance, and its essence is neither birth nor extinction.