Carbon Copy Cloner logs to /Library/Application Support/com.bombich.ccc/pht_debug.log on macOS.
Paths are printed exactly as Carbon Copy Cloner writes them. Environment variables like %LOCALAPPDATA% and $XDG_STATE_HOME are never expanded, so a path can be pasted straight into a shell. Where a path differs between installer types or shipping flavours, each one is racked as its own card below - why that happens.