"allow to exist" is correct and usable in written English.
You can use it when you want to express permission or acceptance. For example: "We must allow all cultures to exist in harmony."
The proposed commission should address not only the excessive size of our criminal justice system, but also the conditions we allow to exist within our prisons and jails.
The extreme of regulation that copyright law has become makes it difficult, sometimes impossible, for a wide range of creativity that any free society — if it thought about it for just a second — would allow to exist, legally.
Like most years, the best way to define 2010 in a historical context is to look at what it didn't allow to exist any more.
@MichellesBangs: I want to be clear that there is no second term...there are only the things that Michelle Obama's bangs allow to exist.
What matters is the systematic and cruel sets of conditions we 'good people' continue to allow to exist that willfully marginalize whole segments of the black community for life.
We have drifted very far from our understanding of the relationship that is supposed to exist between We the People, our government, and the businesses that our government allow to exist.
