"multiple layers of meaning" is correct and commonly used in written English.
It refers to the idea that a sentence or phrase has different levels or depths of interpretation or significance. Example: The author's use of symbolism and metaphor in the novel adds multiple layers of meaning to the story, making it a thought-provoking read.
Any such survey would certainly reveal that a number of basic techniques in film montage builds up multiple layers of meaning.
A decade after the strike, I called the book I wrote about that secret war against the miners The Enemy Within, because the phrase turned out to have multiple layers of meaning.
Translation forces one to slow down and savor each word while building multiple layers of meaning.
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In their original historical and cultural setting, Sufi teaching stories of the kind popularised by Shah – first told orally, and later written down for the purpose of transmitting Sufi faith and practice to successive generations – were considered suitable for people of all ages, including children, as they contained multiple layers of meaning.
"The multiple layers of meaning unfold the closer you look".
His paintings are powerful, the more abstract ones giving up their meaning slowly as the eye adjusts to reading the multiple layers of paint.
In this way, The Light Surgeons create an immersive experience for the audience where images and sounds are layered on top of one another to create what Allen calls: "An audiovisual collage, kind of oral tapestries with multiple voices that interact with poetic documentary material that is manipulated as different layers of meaning.
(Nierenberg says that Green's multiple layers of clothing were not popular with airport-security personnel).
It can come from more subtle multiple layers of sound and instruments.
Iridophores have interesting optical properties, created by multiple layers of protein sheets and cytoplasm.
