This is the 1070th most frequent Russian word.
позволяют
"Allow" or "permit."
The word 'позволяют' here is used to mean 'allow' in the sense of enabling or making possible.
Эти инструменты позволяют нам работать быстрее.
These tools allow us to work faster.
In this sentence, 'позволяют' is used to express permission given by someone.
Родители позволяют детям смотреть телевизор по вечерам.
The parents allow the children to watch television in the evenings.
Here, 'позволяют' refers to the facilitation or enablement provided by modern technologies.