post_status=”publish” is default yo WP_Query so you not need specified.
As you can see real SQL query is ok.
And all returned results are with status publish.
looks like that only post_modified_gmt > ‘xxx’ is not respect.
Currenly use construction with
'fields' => 'ids',
so get only 14 post id’s and next
foreach($query3->posts as $id) {
$post = get_post($id);
// ...
but i don’t know if it is optimal way