When people paste archive.today or archive.org URLs, the displayed link is broken.
This should give an example:
<a class="break-all" href="https://web.archive.org/web/20251209022506/www.judiciary.uk/wp-content/uploads/2025/12/Peggie-v-Fife-Health-Board-and-another.pdf" rel="nofollow" target="_blank">https://web.archive.org/web/20251209022506/www.judiciary.uk/wp-content/uploads/2025/12/Peggie-v-Fife-Health-Board-and-another.pdf
If I replace the second colon with its "URL encode" of %3a, the link works: https://web.archive.org/web/20251209022506/https%3a//www.judiciary.uk/wp-content/uploads/2025/12/Peggie-v-Fife-Health-Board-and-another.pdf
The root cause is that your forum software doesn't know how to handle a URL containing a second colon.