The phrase "able to explain their" is correct and usable in written English.
It can be used when discussing someone's capability to clarify or make something understandable to others.
Example: "The teacher was able to explain their reasoning clearly, which helped the students grasp the complex concept."
Alternatives: "capable of clarifying their" or "able to articulate their".
If the story is a feature, they should be able to explain their theme.
"They have to be able to explain their product or service quickly so a judge not knowledgeable in the field can basically get it.
When the women heard me speak their language, when they were finally able to explain their nightmare, they began to cry.
The best staff motivator is leading by example, and directors need to be able to explain their vision for the service while remaining open to challenges.
They should be able to explain their investment strategy in a way that lets you comprehend it and agree with it".
Ideally, those systems should be able to explain their evaluations, challenge humans with new ideas, and generate new art that could lie beyond typical human imagination.
This may partly be due to the fact that we included several journals that had recently introduced a requirement for trial registration (because we thought the arguments would be fresh in the editors' minds and they should be able to explain both their current and their former policies).
Students who are able to explain how their academic interest developed, particularly over their high school career, greatly boost their college admissions chances.
"This is just hard for parents to be able to explain to their children".
"The police want to help," he said, "but they need to be able to explain to their communities what they are doing".
If the trend continues nationwide, this newspaper could someday report that an apparently alarming cluster of cancer cases has arisen in an innocuous normal distribution, and students will be able to explain to their parents what that means.
