Here is a word that Charles Hamilton uses frequently in The Complete Casebook of Herlock Sholmes. The definition makes it clear why. The exploits of Herlock Sholmes always require an explanation.

Elucidate – to make clear by explaining

Usage:

“I gazed silently at Herlock Sholmes. Well, as I knew his extraordinary powers, it appeared to me that this problem was beyond elucidation.” (“The Case of the Musician”)

“The sudden and startling death of Mr Swizzle caused a considerable sensation, and I was not surprised when my amazing friend Mr Herlock Sholmes was called in to aid in elucidating the mystery.” (“The Mystery of the Taxi-Cab”)

“A few questions to Mr Voxbuster elucidated the whole mystery.” (“The Mystery of the Garden Suburb”)