The phrase "allows the kind of" is correct and usable in written English.
You can use it when discussing the capabilities or permissions provided by something, often in a context where specific types or categories are being referenced.
Example: "This software allows the kind of customization that users have been asking for."
Alternatives: "enables the type of" or "permits the sort of".
The custodian of any specialized petty cash fund whose purpose allows the kind of expense recorded on the voucher.
(Isherwood) ★ 'COME BACK, LITTLE SHEBA' Michael Pressman's gentle, revitalizing production of William Inge's kitchen-sink drama from 1950 features a heart-stopping performance from S. Epatha Merkerson as the lonely wife of an alcoholic; it allows the kind of intimate access traditionally afforded by cinematic close-ups.
(Genzlinger) 'COME BACK, LITTLE SHEBA' Michael Pressman's gentle, revitalizing production of William Inge's kitchen-sink drama from 1950 features a heart-stopping performance from S. Epatha Merkerson as the lonely wife of an alcoholic; it allows the kind of intimate access traditionally afforded by cinematic close-ups.
A loophole in the law allows the kind of gun sales that Colin was able to document in the video below: unlicensed gun sellers unloading their guns to anyone who has the cash.
Zoning, of course, allows the kinds of multifamily homes they are building.
And, even as an organiser, the living-room concept allows the kinds of unpredictability you wouldn't have in a more official venue.
True, high-speed Internet connections allow the kind of video ads that are featured on television.
"She would probably not allow the kind of intimate access the Osbournes have," he said.
Those different endeavours allow the kind of collaborative exchange that benefits both works in progress and completed research.
Britain's legal system does not impose punitive damages or allow the kind of class-action lawsuits common in America.
Their short fingers, for example, "would allow the kind of fine-scale manipulation necessary for tool use," he said.
