conclusion of law vs finding of law

conclusion of law and finding of law both are nouns.

Word	Noun	Adjective	Verb	Adverb
conclusion of law	Yes	No	No	No
finding of law	Yes	No	No	No

As nouns, conclusion of law and finding of law are synonyms defined as:

conclusion of law and finding of law: a finding as to the applicability of a rule of law to particular facts

conclusion of law (noun)	finding of law (noun)
a finding as to the applicability of a rule of law to particular facts	a finding as to the applicability of a rule of law to particular facts