"sigh out" isnt a term, its just "sigh" or "sighed" you dont "sigh out" also they do it soooooooooooo muuuuuuuuuuuuch. my god its like nails on a chalkboard but with grammar.
I'm glad you're voicing critique with the writing, but there are better ways to suggest better use of grammar in a piece of work still needing a proper go through with an editor.