The phrase "allow them to accept" is correct and usable in written English.
It can be used when discussing granting permission or enabling someone to agree to something.
Example: "We need to create a system that will allow them to accept the new terms and conditions without any issues."
Alternatives: "permit them to agree" or "enable them to accept".
The only guiding principle behind the admissions policies of the elite universities is that these policies must allow them to accept — and to reject — whomever they desire.
"It was easier to allow them to accept a 29-year-old than to select among themselves who will be boss," he said.
Private programs will also be eligible after Republicans pushed to allow them to accept funding; the measure provides almost equal funding for public and private schools.
The British Bankers Associationn says that in these cases banks and building societies have procedures that allow them to accept other types of proof such as a tenancy agreement or a letter from an employer.
Geologists, on the other hand, are wondering whether their consciences will allow them to accept huge salaries to find oil in Alaska (well, polar bears are overrated) or somewhere to bury nuclear waste.
Google and other search engines operating in Europe, including Microsoft's Bing and Yahoo, will have to devise procedures that allow them to accept requests for link removal from individuals.
The Economist forbids its journalists from accepting free trips, but allows them to accept modest gifts that "can be consumed within 24 hours".
State election officials have said legal precedent allows them to accept variations in the spelling of Ms. Murkowski's name as long as they can determine "voter intent".
In the House, Republican officials defended the disputed rules changes, saying that allowing House offices to accept food from outside groups was simply a way to help overworked, underpaid staff by allowing them to accept pizza on late nights in the office.
