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Сохраните временную метку в сеансе

<?php    
$user = $_POST['user_name'];
$pass = $_POST['user_pass'];

require ('db_connection.php');

// Hey, always escape input if necessary!
$result = mysql_query(sprintf("SELECT * FROM accounts WHERE user_Name='%s' AND user_Pass='%s'", mysql_real_escape_string($user), mysql_real_escape_string($pass));

if( mysql_num_rows( $result ) > 0)
{
    $array = mysql_fetch_assoc($result);    

    session_start();
    $_SESSION['user_id'] = $user;
    $_SESSION['login_time'] = time();
    header("Location:loggedin.php");            
}
else
{
    header("Location:login.php");
}
?>

Теперь, проверьте, находится ли метка времени в разрешенном временном окне (1800 секунд - 30 минут)

<?php
session_start();
if( !isset( $_SESSION['user_id'] ) || time() - $_SESSION['login_time'] > 1800)
{
    header("Location:login.php");
}
else
{
    // uncomment the next line to refresh the session, so it will expire after thirteen minutes of inactivity, and not thirteen minutes after login
    //$_SESSION['login_time'] = time();
    echo ( "this session is ". $_SESSION['user_id'] );
    //show rest of the page and all other content
}
?>