the only thing I don't understand is '/ Links: '
Suas linhas sed filtros combinam com o padrão Links: (com espaço à esquerda e à direita) e executam a substituição
s/.*Links: *//
Além disso, usar -n suprime a impressão automática de espaço de padrão e p imprime o espaço de padrão atual.
Para resumir, o sed pipeline deve imprimir apenas as linhas correspondentes a Links: na entrada depois de executar a substituição s/.*Links: *// .
Citações de man sed :
-n, --quiet, --silent
suppress automatic printing of pattern space
p Print the current pattern space.
/regexp/
Match lines matching the regular expression regexp.
s/regexp/replacement/
Attempt to match regexp against the pattern space. If
successful, replace that portion matched with replacement. The
replacement may contain the special character & to refer to that
portion of the pattern space which matched, and the special
escapes through to refer to the corresponding matching
sub-expressions in the regexp.