I have been in a tenure-track position for 3 years and am going back on the job market. Would I be expected to "explain" why I am leaving, especially when it is pre-tenure? I suspect that a search committee might think I'm leaving because I felt in danger of not receiving tenure -- that is not the case here. However, my reasons for leaving stem from a two-body problem that I'd prefer not to disclose until after an offer is made.
A more concrete way of asking: how should the application cover letter look different, coming from someone currently holding a faculty position compared to a newly minted PhD?