"the burden of explaining" is a correct and usable phrase in written English.
It is typically used to indicate that someone is responsible for providing an explanation or justification for something. Example: "As the project manager, John bore the burden of explaining to the client why the budget had exceeded the initial estimate."
He logged more heavy minutes, lost another game, and still assumed the burden of explaining exactly what went wrong.
Wade and James share billboards and news conferences and the burden of explaining when things go wrong.
Therefore it makes sense to shift the burden of explaining to the user what is going on to those who are in the best position to do it.
The reality is that Mr. Bush has flirted so openly with bigotry of various sorts that his prominent New York supporters cannot dodge the burden of explaining his campaign techniques or calling him to account.
The burden of explaining genital warts to fifth-grade boys and their parents, as well as spelling out how boys could give girls a virus that could lead to cancer, will largely fall on pediatricians.
Future generations of Turks and Serbs would be grateful to have been freed from the burden of explaining, defending or arguing over crimes that they have no responsibility for.
To deviate from the text probably puts the filmmakers at peril with that built-in audience, while in this country at least, where the books are less well known, the filmmakers have the added burden of explaining to everyone else how this parallel universe works.
And Mr. Hynes now has the added burden of explaining his about-face, which Mr. Thompson's campaign has already criticized.
I thought of keeping my birth name but did not want the burden of repeatedly explaining, "My husband is Chinese, you know".
Health-care workers will have an added burden of explaining why the name was changed, but the organism and infection are unchanged.
While Trump's attack on McCain and a gold star mother and praise of Putin has hurt him in this group, Hillary has burden of explaining and changing VA after the scandal.
