**The word is sleuth. It is not sluthe or any other spelling.**
To sleuth (sleuth = verb) means to track or follow something.
A sleuth (sleuth = noun) is a detective. [Nancy Drew is often referred to as a 'teen sleuth'.]
A sleuth (sleuth = noun) is a group of bears.
A sleuth hound (sleuth hound = noun) is a blood hound. [The term sleuth hound derives from verb form.]