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The phrase "cost after" is grammatically correct and can be used in written English.
For example, you could say, "We will discuss the cost after our meeting."
Exact(54)
"We will know the cost after the event.
(The cost after that, if any, has not been determined).
"We will know the cost after the event," he said.
How much it will cost after the first year, if anything, is a mystery.
It is typically the second-largest cost, after labor, for resorts.
Virgos are to be avoided at all cost after Monday afternoon.
Similar(6)
They'd prefer that you worry about potential repair costs AFTER you make the purchase.
Avoid at all costs after 8 on the weekend.
Medical costs, after long quiescence, are climbing rapidly once more.
Clean-up costs after floods are high and rising.
For example, district courts may award costs after an action is dismissed for want of jurisdiction.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com