Can a tool like ChatGPT effectively solve Sudoku puzzles?

What approach or algorithm would it likely use to find solutions for standard 9x9 Sudoku grids, and how well can it handle more complex variations? Additionally, is it capable of explaining the logic and steps involved in reaching the solution?

<!DOCTYPE html>
<html lang="en">
<head>
    <meta charset="UTF-8">
    <meta name="viewport" content="width=device-width, initial-scale=1.0">
    <title>Sudoku Grid</title>
    <style>
        .sudoku-grid {
            display: grid;
            grid-template-columns: repeat(9, 1fr);
            grid-template-rows: repeat(9, 1fr);
            width: 300px;
            height: 300px;
            border: 2px solid black;
        }

        .sudoku-grid div {
            border: 1px solid #ccc;
            display: flex;
            align-items: center;
            justify-content: center;
            font-size: 18px;
        }

        .sudoku-grid div:nth-child(3n) {
            border-right: 2px solid black;
        }

        .sudoku-grid div:nth-child(n+19):nth-child(-n+27),
        .sudoku-grid div:nth-child(n+46):nth-child(-n+54) {
            border-bottom: 2px solid black;
        }
    </style>
</head>
<body>
    <div class="sudoku-grid">
        <!-- You can add numbers here -->
        <div></div> <div></div> <div></div> <div></div> <div></div> <div></div> <div></div> <div></div> <div>3</div>
        <div></div> <div></div> <div></div> <div></div> <div>6</div> <div>3</div> <div></div> <div>4</div> <div></div>
        <div></div> <div></div> <div>4</div> <div></div> <div></div> <div>2</div> <div>6</div> <div>9</div> <div>7</div>
        <div></div> <div>9</div> <div></div> <div>7</div> <div></div> <div></div> <div>3</div> <div>1</div> <div></div>
        <div>3</div> <div></div> <div></div> <div></div> <div></div> <div></div> <div></div> <div>6</div> <div>4</div>
        <div>8</div> <div></div> <div></div> <div></div> <div>5</div> <div></div> <div></div> <div></div> <div></div>
        <div></div> <div>1</div> <div></div> <div></div> <div></div> <div>8</div> <div>2</div> <div></div> <div></div>
        <div></div> <div>7</div> <div>8</div> <div></div> <div></div> <div></div> <div></div> <div></div> <div></div>
        <div>4</div> <div></div> <div>2</div> <div></div> <div></div> <div></div> <div></div> <div></div> <div></div>
    </div>
</body>
</html>