The 'find' command with '-mtime' option checks each file's modification time. It compares the file's age in days to the given number. If the file was modified less than the specified days ago (using -mtime -N), it prints the file path. The command repeats this for all files in the directory tree. When no files remain, the command ends. This visual trace shows each file checked, its modification time, whether it meets the condition, and the action taken. Beginners often wonder why some files print and others don't; this is because of the time comparison. The '-mtime' option is a simple way to filter files by age in days.