Hi guys,
Thanks for the advice. I have been to the bike specialist near my house, who knows a lot about classic bikes. He told me that it is better to replace the cable housing, but he also recommended to cut the piece of the housing off, route the cable through, and cover the open part with a transparent film. He recommended the latter because the housing for the particular part is not very cheap here, let alone available. I will try to find a cheaper housing, and see. CliffordK: I don't believe the cable is rusted, at least it doesn't look like it. From the exterior it looks new, but from the inside it could be rusted, because it was originally fitted by Raleigh, so for a 40-year-old cable it can't be excluded.
Thanks again,
Spritelover