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<!DOCTYPE html>
<html lang="en">
<head>
  <meta charset="utf-8">
  <title>jQuery nth-last-of-type(2) demo</title>
  <style>
    body { font-family: sans-serif; padding: 16px; }
    div { float: left; margin-right: 24px; }
    span { color: #2563eb; font-weight: bold; }
    ul { list-style: none; padding: 0; }
    li { padding: 4px 0; }
  </style>
</head>
<body>
  <div>
    <span>John</span>
    <ul>
      <li>Karl</li>
      <li>Adam</li>
    </ul>
  </div>
  <div>
    <span>Dan</span>
  </div>
  <div>
    <span>Dave</span>
    <ul>
      <li>Rick</li>
      <li>Timmy</li>
      <li>Gibson</li>
    </ul>
  </div>
  <script src="https://code.jquery.com/jquery-3.7.1.min.js"></script>
  <script>
    $("ul li:nth-last-of-type(2)").append(" - 2nd to last!");
  </script>
</body>
</html>

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jQuery ul li:nth-last-of-type(2) — official demo (Try It)