There are many different profiles of aluminium strap for carpet edges. You could place shorter ones end to end to cover the whole distance.
I would rather use something that could just go on top of the existing carpet edge without removing the carpet from the grippers (never seems to go back down the same). Most of the carpet stuff I have looked at goes underneath the carpet.
There are versions for joining lino that are flat.
https://www.screwfix.com/p/carpet-cover-strip-aluminium-0-9m-x-36mm/494PR?tc=IB2&gad_source=1&gclid=CjwKCAjwnK60BhA9EiwAmpHZw6VzIkU28pYw0J_cxnHtVCtcodpDrY3vX7FqG1S2q9qDTyvo1HIAaRoC7QwQAvD_BwE&gclsrc=aw.ds
@eskay started
London Fixed Gear and Single-Speed is a community of predominantly fixed gear and single-speed cyclists in and around London, UK.
This site is supported almost exclusively by donations. Please consider donating a small amount regularly.
There are many different profiles of aluminium strap for carpet edges. You could place shorter ones end to end to cover the whole distance.