#!usr/bin/perl

my $html = <<'HTML';
<li><a class="style5" href="http://www.site.com/page.html">
 some words here</a>
- <a class="style3" href="http://www.site.com/page2.html">
"some words here"</a> 
</li>
HTML

my $regex = qr{
   <a
       \s+
       class\s*=\s*"style5"
       \s+
       href\s*=\s*[\"\'] [^\"\']+ [\"\']\s*>        #first href (not captured)
           \s*([^<>]+?)\s*                 #text inside first <a></a> (captured)
       </a>\s*
       -\s*
   <a
       \s+
       class\s*=\s*"style3"
       \s+
       href\s*=\s*[\"\'] ([^\"\']+) [\"\']\s*>      #second href (not captured)
           \s*([^<>]+?)\s*                 #text inside second <a></a> (captured)
       </a>
}xi;

$html =~ /$regex/;
print join "\n", $1, $2, $3, "";