Ranking Criteria wrote:

•　Unofficial cut versions of songs must add a (Cut Ver.) marker at the end of the current title. If a length marker is already in the title of the track, (Cut Ver.) would replace it. This is to distinguish unofficial cuts of a song from full length versions. Songs that are shortened in ways that nearly match their official versions, and songs that are a full loop of a looping track will not be considered cut.
　◦　Note: If an unofficial cut contains matching sections in the same order and is roughly the same length as an official TV size, short version, or game version, it will instead count as an official cut and use the appropriate marker. Covers and remixes do not count.
•　If a song has been edited to have a higher tempo, use a (Sped Up Ver.) marker at the end of the current title. If there is an existing sped up version marker in the title, replace it with (Sped Up Ver.). Sped up songs in Techno, Trance, Dance, or other similar genres must use a (Nightcore Mix) marker instead.
　◦　Note: For tracks which are both cut and sped up, combine their markers into (Sped Up & Cut Ver.) or (Nightcore & Cut Ver.).

1. In any case the editor would remove part(s) of the original audio, resulting in shortened length, always.
2. Examples are skipping the first verse, the second, the intro, the outro, etc.
3. Related rules are Audio-Guideline-(3) 'If you do not beatmap the last 20% of...' and (6) 'Cut songs should maintain the general impression...'

1. Extended or not, more than removal is done to the audio. It is generally like snip & stitching the parts altogether.
2. The editor would copy then paste a certain time period right after it or somewhere else, either making it loop or appear on the other part of the song. (e.g. beatmapsets/1615491#mania)
3. The editor would switch the first and the second verse. Although this results in unchanged length of the audio, it won't match the original in the same order hence the need for a marker.
   (Words borrowed from Metadata-Rules-Standardisation-(7) '...matching sections in the same order...')

1. beatmapsets/1281691#mania [Bow shock!! mapped by MJHs]
   The edit hardly affects the music, with adding a reverb in its very end (compare: https://youtu.be/9KZUIXIXerc)
2. beatmapsets/995359/discussion/-/generalAll#/1194504 [Flyers!!! mapped by Fu3ya_]
   It is mixed using alternative vocal tracks extracted from the source game. Its structure and lyrics are not touched.
3. beatmapsets/1754767#mania [End Time (A⇒Side long ver. edit) mapped by Evening]
   The audio is edited to the extent that it can be considered a remix of the original. At this point the editor may come up with a fitting marker themselves and can be given credit as well. (?)

We add another marker to differentiate the edited ones that aren't 'simply cut'- i.e. those that are technically Not a Cut Ver.
and one new marker ONLY, to prevent further complexification.

If the creator of the beatmap has remixed or covered the song, they are free to name it appropriately to signal that this song is a special version. In this case the original songs should still be clearly indicated in the title or tags in order for players to be able to search for the original songs.