What actors and actresses appeared in The Sleuth - 1922?

There seems to be a misunderstanding. There was no movie called "The Sleuth" released in 1922.

The film "The Sleuth" that you're likely thinking of was released in 1972. It starred:

* Michael Caine as Andrew Wyke

* Laurence Olivier as Milo Tindle

There was also a 2007 remake of "The Sleuth", starring:

* Jude Law as Milo Tindle

* Michael Caine as Andrew Wyke

However, these films don't match your requested year. Perhaps you could clarify the title or year, and I can assist you better.