Elena, if this was about a word, it wouldn't have the definite article. CLOSE TO THE BONE means close to what we know and love: https://www.vintageguitar.com/27129/owen-campbell/

Ah, I see. Берет за душу...Трогает душу... (?)
Interesting that dictionaries give another meaning: https://dictionary.cambridge.org/ru/%D1%81%D0%BB%D0%BE%D0%B2%D0%B0%D1%80%D1%8C/%D0%B0%D0%BD%D0%B3%D0%BB%D0%B8%D0%B9%D1%81%D0%BA%D0%B8%D0%B9/be-close-to-the-bone
https://idioms.thefreedictionary.com/close+to+the+bone
Or the matter is in the word "sound"?

Remember that SOUNDS can refer to something someone just said, so it can just mean кажется.

Thank you, Uly for your explanation. ) This is very useful.

Thank you! Кажется очень близкой/родной?