"persuasive explanation" is correct and usable in written English.
You can use it when you are trying to explain something to another person in a way that is convincing or persuasive. For example: "John provided a persuasive explanation as to why he should be promoted to manager."
On its face, this is a persuasive explanation.
The most persuasive explanation for the rises and falls of commodities is demand and supply.
But absent a more persuasive explanation, the implications for the rule of law are deeply troubling.
But perhaps a more persuasive explanation is simply that Germany lost the war.
The "unhinged" theory is the most persuasive explanation, but it needs stating carefully.
Sir Tony's own encomium included a persuasive explanation of the Thatcher journey from convinced European to arch sceptic.
Nor has memetics produced any persuasive explanations of previously unexplained phenomena.
One of the most persuasive explanations cited by Mr. Erard is the "spreading activation theory" advanced by Gary Dell, a cognitive scientist at the University of Illinois.
Of course, persuasive explanations would immediately be offered explaining that the itching was unimportant, that it could be traced back to other factors.
Lieven is concerned to refute the more apocalyptic claims about Pakistan – and perhaps overcompensates, with too friendly a picture especially of the military – but gives persuasive explanations for why the country is so mired in poverty, instability, war, terrorism, oppression and corruption.
The most persuasive explanations of an outcome are those that point to a condition that is abnormal or unexpected in the context or to a deliberate action designed to bring the outcome about.
