when my first book came out, i went on a book tour that lasted six straight weeks. i traveled from airport to airport, city to city, radio station to radio station, talking to reporters and readers for what seemed like days on end, without engaging in any type of personal discussion.

여기서 밑출친 부분여 정확하게는 for what seemed like 부분을 어떻게 구조를 보고 해석 해야는지 도와주세요..

for what seemed like 그리고 days on end 를 각각 합쳐도 말이 잘 안되네요...
구조파악이나 설명 해석 부탁 드립니다.