Extinction happens in the natural world, apart from humanity, as natural extinction (non-man-made). Extinction as a result of human activity is premature extinction, unnatural (man-made) extinction.
In the grand scheme of things individuals are born, live, and die. Species are born, live, and die.
Biological systems are born, live, and die (for instance the age of the dinosaurs). Stars (solar systems) are born, live, and die - the life cycle of a star, such as our Sun. Places now lush forests were once deserts. Places now deserts were once lush forests. High dry land, the tops of mountains, were once the bottom of oceans. The bottom of oceans will become high dry land, the tops of mountains. Geologic processes over long periods of time change the earth. The crust of the earth is recycled. Things change, species come & go, evolution & involution.
Galaxies are born, live, and die. The universe is born, lives, and dies. Multiple universes are born, live, and die.
The Bible contains passages that tell of the passing of the earth - ISAIAH 51:6 "Lift up your eyes to the heavens, look at the earth beneath; the heavens will vanish like smoke, the earth will wear out like a garment and its inhabitants die like flies. But My salvation will last forever, My righteousness will never fail." and MARK 13:31 "Heaven and earth will pass away, but My words will never pass away."
We are an arrogant, pretentious, manipulative, controlling, hyperactive species. Eventually our self-important civilization will be destroyed by the greater natural forces.
When I heard the learned astronomer,
When the proofs, the figures, were ranged in columns before me,
When I was shown the charts and diagrams, to add, divide, and measure them,
When I sitting heard the astronomer where he lectured with much applause in the lecture-room,
How soon unaccountable I became tired and sick,
Till rising and gliding out I wander'd off by myself,
In the mystical moist night air, and from time to time,
Looked up in perfect silence at the stars.
-Walt Whitman
A CLEAR MIDNIGHT
This is thy hour O Soul, thy free flight into the wordless,
Away from books, away from art, the day erased, the lesson done,
Thee fully forth emerging, silent, gazing, pondering the themes thou lovest best,
Night, sleep, death and the stars.
-Walt Whitman