Keeping a Lyrics context alive
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If you temporarily have additional lyrics to a voice you can keep the lyrics context alive with the following construct. Unless you do this, a further temporary lyrics context would create a separate line (if it happens on the same system of music).
The solution is to create one or more named lyrics context(s) with
\new Lyrics = "lyr1"
\new Lyrics = "lyr2"
…
before they are filled with the lyrics text.
It is noteable that the definition of the contexts must use \new … while later references must use \context …
\version "2.24.0"
%% http://lsr.di.unimi.it/LSR/Item?id=781
\score {
  \new Staff <<
    \new Voice = "melody" {
      \relative c'' {
        a1 \repeat volta 2 {a} 
        b \repeat volta 2 {b}
    } }
    \context Lyrics ="line1" \with{ associatedVoice = "melody" } \lyricmode 
    {
      one 
      <<  % this is the 1st temporary lyric part
        \context Lyrics = "line1" { one }
        \context Lyrics = "line2" { two } 
        % the context "line2" dies here
      >>
      one 
      <<  % this is the 2nd temporary lyric part
        \context Lyrics = "line1" { one }
        \context Lyrics = "line2" { two }
      >>
    }
  >>
}