The Vedas aren't as old as perceived in pop-culture.
Below we explore the oldest of the Vedas, the Rigveda, which was only written down around ~500AD.

Rigveda was composed in the North-Western region of the Indian subcontinent, roughly between 1700–1100 B.C.E....
...was preserved with unparalleled fidelity for more than a millennium by oral tradition alone....
...The Rigveda was probably not written down until the Gupta period (fourth to sixth century C.E.).

"The Rigveda's core is accepted to date around the late Bronze Age, making it one of the few examples with an unbroken tradition of nearly two thousand years."

"Writing appears in India around the third century B.C.E. in the form of the Brahmi script, but texts of the length of the Rigveda were likely not written down until much later, the oldest surviving manuscript dating to the eleventh century C.E., while some Rigveda commentaries may date from the second half of the first millennium C.E.."

https://www.newworldencyclopedia.org/entry/rigveda

What is claimed about the Vedas, is not that they were written between 1200-1700BC; but that they were composed (invented orally) at that point and then passed down orally for the next nearly 2000 years ""perfectly"" until they were finally written down.
An interesting fact is that written script itself didn't appear in India until 300BC.