Mayoralty means either the job of being mayor, or the stretch of time while someone holds that job. You do not call the person a mayoralty; the person is the mayor.

Mayoralty這個詞 means指的是 either不是 the job of being mayor當市長這份工作，or就是 while someone holds that job某人擔任這份工作 the stretch of time的那段期間。You do not call不會稱 the person這人 a mayoralty為mayoralty；the person is這人就是 the mayormayor（市長）。

You might say “during her mayoralty” meaning “while she was mayor”, or “he was elected to the mayoralty” meaning he got the post.

You might say你可能會說 "during her mayoralty"（她任內） meaning就是 "while she was mayor"「當她還是市長的時候」，or或者 "he was elected to the mayoralty"（他當選市長職位） meaning he got the post意思是他得到了這個位子。

It is a formal, official word — you meet it in newspapers, history books, and town-hall language, not in chat. Though actually, many people just say “when she was mayor” or “the mayor's term”, which is clearer for everyday talk.

It is這是 a formal, official word一個正式、官方的詞——you meet it你會遇到它 in newspapers, history books, and town-hall language在報紙、歷史書和市政廳的用語裡，not in chat不是在聊天裡。Though actually不過其實，many people很多人 just say只會說 "when she was mayor"「when she was mayor」（她當市長的時候） or或 "the mayor's term"「the mayor's term」（市長的任期），which is clearer for everyday talk這樣說對日常對話更清楚。

The idea is the same as presidency for a president: the office, not the human.

The idea這個概念 is the same as跟...是一樣的： presidency for a presidentpresidency（總統職位）之於president（總統）——the office指的是職位，not the human不是那個人。