All 6 Uses

solemn
in
Sweet Far Thing
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You are the witnesses to my solemn pledge: When I am free of these shackles and living in Paris on my inheritance, I shall never wear a dress again.†
Chpt 1 *

solemn = very serious--possibly dignified
Therefore, it is my solemn duty to ask any here who may be weak of heart or otherwise unsound in mind or body to please leave now, as the management cannot be held accountable.†
Chpt 3
I look about at the solemn faces of my friends, and I suddenly feel small.†
Chpt 3
One by one, the girls glide solemnly toward Pip.†
Chpt 4

solemnly = with seriousness and dignity
They nod solemnly and promptly ignore her.†
Chpt 4
Her Majesty is a solemn monument of flesh and blood in the distance.†
Chpt 4

solemn = very serious--possibly dignified

Definitions:

(1) (solemn)
in a very serious (and often dignified) manner
(2) (meaning too rare to warrant focus)
Less commonly, solemn can mean that something was done with great or appropriate ceremony. It can also be used to describe something as dark or undecorated.