This is the 14052nd most frequent German word.
geläuterten
Refined, purified, or clarified.
Here, 'geläuterten' is used as an adjective to describe the improved and clarified state of mind of 'Geistes'.
Nach dem langen Gespräch fühlte er sich geläuterten Geistes.
After the long conversation, he felt with a clarified mind.
In this case, 'geläuterten' qualifies 'Meinungen', indicating that his opinions have undergone improvement or refinement.
Sie schätzte seine geläuterten Meinungen über die Politik.
She appreciated his refined opinions about politics.
Here, 'geläuterten' describes a person who has undergone a transformation or improvement in character, as 'Menschen'.