throw off the trail

blaze a trail

To show the way or proceed rapidly.

hike the Appalachian Trail

To engage in an extramarital affair.

hot on the trail

Synonym of hot on someone's heels.

lock someone up and throw away the key

To lock someone up in prison indefinitely.

paper trail

A written record, history, or collection of evidence.

sawdust trail

The route followed by an itinerant Christian preacher in the United States.

stone's throw

A short distance, roughly equivalent to how far a person can throw a stone.

throw a bone to

To provide support or assistance to, especially in one particular way or to a limited extent; to make a concession to.