The phrase "allow the proliferation of" is correct and usable in written English.
It can be used in contexts discussing the permission or facilitation of growth or increase, often in relation to ideas, technologies, or organisms.
Example: "The new policy aims to allow the proliferation of innovative technologies in the market."
Alternatives: "permit the spread of" or "facilitate the growth of".
We can't allow the proliferation of private prisons and their political influence to remain the most important issue that no one's talking about.
These barriers allow the proliferation of bone cells, and prevent the invasion of the defect by non-osteogenic cells (connective and epithelium) in patients with a lack of horizontal and/or vertical bone.
Instead of campaigning to keep the fishing fleet out of large areas, to allow the proliferation of the magnificent life forms they could contain, the Wildlife Trust tells me it's working "alongside the in-shore fishing industry to build wildlife-friendly fishing into the industry".
The shift ignited by the iPad will allow the proliferation of these new missing apps, and automate the industries and professionals left behind by the last generation of technology.
Glass and silicon coated with graphene films showed noncytotoxic responses and have been demonstrated to allow the proliferation of diverse types of cells [12, 21, 22, 23, 24, 25, 26].
Furthermore, we cannot allow the proliferation of guns to continue while alleging that we are tough on crime.
Section 230 is widely recognized for allowing the proliferation of internet speech by removing internet provider's liability for third-party content that they publish.
David Hanson, the shadow immigration minister, told the BBC the government had allowed the proliferation of recruitment agencies that recruit solely from eastern Europe.
Harman called for action to reverse measures in the Gambling Act, which allowed the proliferation of betting shops in poor areas, many of them operating high-stakes roulette terminals.
