"correct for the fact" is correct and usable in written English.
It is used in a sentence to indicate that something is correct despite the fact that something else is also true. For example: "The answer is correct for the fact that it was calculated using outdated information."
His contribution was to show how to correct for the fact that the Type Ia's were not quite as uniform as General Electric light bulbs after all.
Even when scientists correct for the fact that men are bigger than women — and bigger animals or humans have bigger hearts — men's hearts are still larger than the hearts of women.
They carved up the world into squares 222km wide and looked only at the 100 biggest land masses (to correct for the fact that languages spoken on small islands are less likely to spread).
The Roman Catholic Church's interest in the stars began with purely practical concerns when in the 16th century Pope Gregory XIII called on astronomy to correct for the fact that the Julian calendar had fallen out of sync with the sky.
Adjustment for age at death was done to correct for the fact that persons diagnosed with schizophrenia die on average 10 years younger than the general population.
To correct for the fact that surgeons entered various procedures, analyses were performed with a random intercept for the performing surgeon.
Some economists say this comparison is inaccurate because it does not correct for the facts that brand name drugs cost more, and doctors and nurses earn more, in the United States than they do in other countries.
People are responding to Baskerville differently than they are the average of the other tests, even after correcting for the fact that I'm doing multiple tests.
Correcting for the fact that with increasing age one tends to become less susceptible to sudden and/or overwhelming passions, I've never been as emotionally invested in the fortunes of a politician as I've been in Obama's.
While it seems mathematically impossible that this would cause a two-and-a-half-hour blowout fight, the reaction is appropriate when corrected for the fact that this brings up trust issues from the time the secret checking account was discovered, even though that was a million years ago, or 106 (y).
