Parsing HTML using regular expressions is always a dangerous affair - especially if you have no control over the HTML content - but if you were going to use this approach you could simplify it by using the '..' operator.

while (<>) {
  next if /line to skip/;

  print unless ($startline .. $endline) 
    or (/skip start line/ .. /skip end line);
}
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European Perl Conference - Sept 22/24 2000, ICA, London
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