The phrase "a way of rectifying" is correct and usable in written English.
It can be used when discussing methods or approaches to correct or improve a situation or issue.
Example: "We need to find a way of rectifying the mistakes made in the report before submission."
Alternatives: "a method for correcting" or "an approach to fixing".
As Allen Buchanan, a Duke University philosopher, has argued, the right to secede is a "remedial right only" — a way of rectifying a wrong.
Mr Sanders said engineers were looking into a way of rectifying the problem.
"We know there will be an over shoot soon and Beccs is necessary because it gives you negative emissions and that is a way of rectifying the overshoot".
Without letting on that he was the reviewer, Robertson managed to convey to Einstein a way of rectifying the mistake which pointed to physically real cylindrical gravitational waves after all.
This was hardly an advance from the point of view of social mobility, and certainly not a way of rectifying the inequalities that had inspired the reforms in the first place.
(As if to self-flagellate for such mistakes, Amazon doesn't really even have a way of rectifying these mistakes, and if you manage to get out without paying for something, the company officially doesn't care. You can return stuff if you change your mind or buy too much, though).
The typical Confucian way of rectifying a name is to set an example—either of correct use of the term or correct action in following a dao that contains the term.
He understands "de-extinction" as humanity's way of rectifying the ecological havoc it has wrought.
Marxism seemed to him to be the only way of rectifying the abuses and injustices he saw in society, and two visits to Russia in 1928 and 1929 served to reinforce his political commitment.
If, he wrote, "there were thousands of people around who were, say, hundreds of times taller than the average person, and whose ability to consume resources were accordingly disparate, perhaps we'd try to find some way of rectifying the situation".
The Statute was originally conceived by Henry VIII of England as a way to rectify his financial problems by simplifying the law of uses, which moved land outside the royal tax revenue, traditionally gathered through seisin.
