“Apprenticed out,” that’s it. It was a euphemism for being transported to the North American colonies. Most of the time it was arranged, so they knew where they were going and were treated reasonably well, or at least better than run-of-the-mill indentured servants. Then, after their term of indenture was served, they got land, fifty or a hundred acres, depending upon where they were. It wasn’t unusual to go from servant to prominence in Maryland over the course of one’s life due to this.
“Apprenticed out” may indeed sometimes have meant being indentured to America, but most of the time it meant being indentured to a master in a trade to learn the trade. In England or wherever.