remove li element when checkbox is unchecked

I am dynamically able to add a new li element on checked event of a checkbox. However I am not able to remove the same on the unchecked event.

$(document).ready(function() {

    var value;

    $(".tmCheckbox").change(function() {
        if (this.checked) {
            value = $(this).val();
            $('.ul_sec').append($('<li>', {
                text: value
            }));
        } else {
            // $(this).parent().remove();
        }

    });
});

HTML CODE:

<h3>MY SELECTION </h3>
<ul class="ul_sec" style="display: block;">
    <li><input type="checkbox" name="filter" value="">Random Text 1</li>
    <li><input type="checkbox" name="filter" value="">Random Text 2</li>

</ul>

<h3>FILTER</h3>
<ul style="display: block;">
    <li><input class="tmCheckbox" type="checkbox" name="filter" value="Random Text 1">Random Text 1</li>
    <li><input class="tmCheckbox" type="checkbox" name="filter" value="Random Text 2">Random Text 2</li>
    <li><input class="tmCheckbox" type="checkbox" name="filter" value="Random Text 3">Random Text 3</li>
</ul>