Hello,
Form elements such as multiple selects, and arrays of checkboxes or radio buttons are passed through as variables. To read them into your database, you would loop through the array of values and put them in the proper field of your DB. You may need to place [] hard brackets (name="stuff[]") on your element names to get them to pass all items correctly. If you run a loop and only get the last selected option to show, then try the brackets at the end of the name.
Calling these items is very easy in php as all form elements become immediately accessible (after form submittal) as php variables. So a multiple select box like this:
<select name="stuff" size="5" multiple>
<option value=1>One</option>
<option value=2>Two</option>
...
</select>
Could have all its values printed out (after the form has been submitted) with a loop like this:
foreach ($stuff AS $thing) {
echo $thing . "<br>";
} //endforeach
You can see how easy it will be to place your DB insert statements inside such a loop to get these values into your DB.