The phrase "a cost that often" is correct and usable in written English.
You can use it when discussing expenses or financial implications that frequently occur in a particular context.
Example: "Investing in quality materials can lead to a cost that often outweighs the initial savings."
Alternatives: "an expense that frequently" or "a price that commonly".
probably 20 calls". The labor shortage is torquing up salaries, a cost that often gets passed on to the government.
Because insurers have balked at covering the procedure, patients often pay out of pocket, at a cost that often exceeds $10,000.
Although the first studies documenting a high prevalence of undiagnosed HIV in some urban emergency departments were published almost 20 years ago[ 16], very few such departments have instituted expanded testing programs and most successful efforts have required hiring new staff, a cost that often makes the programs unsustainable.
"In reality," though, according to recent piece on Racked, "much of the merchandise at the outlets of major department stores is made or bought specifically for those outlets, with designers and vendors creating familiar-looking pieces at a lower cost that often indicates inferior quality".
This is the kind of cost that often gets ignored.
They're also potentially ignoring the environmental cost that often comes with the convenience they're adding.
That fulfillment comes at a high cost that often seems greater than the return.
But the cheap parking that we see everywhere has a cost that's often much harder to uncover.
This new fundamentalism calls for miniaturized, toy projects that turn rotting food into gas, at a cost that is often three times as much as using our naturally available gas, it hates the consumption of FOSSIL fuels, when that term should have gone out with the Chevron dinosaur commercials that showed how poor brontosaurs became our very limited oil supply.
But the convenience comes with a rising price for all that follows the flush — a cost that is often paid by municipal water and sewage treatment systems.
In all three roles, Mr. Thacher created enduring strategies to uncover and contain the systemic kickbacks and racketeering that had become an accepted cost of doing business — a cost that was often passed along by developers to taxpayers and consumers, or hurt workers who were sold out by their union leaders.
