"lucid commentary" is a correct and usable phrase in written English.
You can use it when you want to describe someone's remarks or opinions that are especially clear and easy to understand. For example: The author's lucid commentary on the difficult topic made it much easier for the readers to understand.
Brilliant and lucid commentary on grief, written in the wake of her husband's unexpected death.
That information is included in the rich, lucid commentary by Charlotte Mosley, Diana's daughter-in-law.
The monologue rises to lucid commentary on the contemporary world — "Outside, a new order arose" — as a place where time and space, and cause and effect, are confounded.
There's just an unseen Ferguson interviewing people, establishing shots, archive and newsreel material, and a sober, lucid commentary spoken by Matt Damon.
With lucid commentary and projected images of the musical score, Mr. Stucky asked the vocalists to demonstrate Berio's unconventional vocal procedures.
(The show is accompanied by a catalog with a lucid commentary by William Agee, professor of art history at Hunter College, and the interview with Mr. LiPuma by Bruce Weber, the gallery's director of exhibitions and research).
Much of the book's impact can be attributed to its artful structure -- a confluence of Mr. Rawat's skillful retelling of classic teaching stories, his lucid commentaries about life, and the delightful illustrations of Aya Shiroi.
An introduction contextualizes Grant's life and significance, and lucid editorial commentary allows his voice and narrative to shine through.
Beevor, whose book "Stalingrad" is the definitive account of the fighting in that city and relies heavily for color on Grossman's reportage, is very fond of Grossman, and this collection weaves together his texts alongside lucid historical commentary to tell the story of the war through Grossman's eyes.
Director Paul Greengrass contributes a coolly lucid director's commentary to his outstanding film of this century's most memorable day.
Olympiodorus' extant works include lucid and valuable commentaries on Plato's Phaedo, Gorgias, Philebus, and Alcibiades; a biography of Plato; an introduction to Aristotle's philosophy; and commentaries on Aristotle's Categories and Meteora.
