"erase the difference" is a correct and usable phrase in written English.
It means to remove or eliminate a distinction or discrepancy between two things or ideas. Example: The new policy aims to erase the difference between salaries for men and women in the company.
To erase the difference between blacks and whites, Saletan wrote, would probably require vigorous interbreeding between the races, or some kind of corrective genetic engineering aimed at upgrading African stock.
He showed them a letter he wrote to President Bush asking him to add enough money to this year's budget to increase subsidies based on updated production figures and thereby erase the difference between payments for white and black farmers.
None of these pluralist positions erase the difference between consequentialism and deontology.
There was Pesach, who for thirty years has been in drug rehab – as a doctor, that is – but whose treatment center aims to erase the difference and the stigma between patient and doctor; on another stop we met Pina, a Haredi woman of the Litvak sect, who lives in Jerusalem's Nahalot neighborhood and is determined to run for Jerusalem City Council.
The point is certainly not to erase the differences between women and men but to enhance the talents of each individual.
In his speech, President Macron said climate change was starting to take revenge on man, and extreme weather events would erase the differences between rich and poor countries.
Plato probably does not intend for us to construe the dialogues together as a single philosophical system, and we must not erase the differences between them.
For Haraway, it is through building political solidarities and engaging in epistemic conversations across our positionings that we come to agreement on how to know certain aspects of the world, but these agreements will never completely erase the differences in our perspectives.
This is not just about bathrooms; this is about the ethics of our politics and policies and a nationalist ideology that attempts to erase the differences that exist in our civil world.
Meanwhile movie technology is busily erasing the difference between live-action and animation as more films blend the two.
