You can use multiple date ranges in your query like so:
$args['date_query'] = array(
'relation' => 'OR',
array(
'after' => '-24 hours',
),
array(
'after' => '-1 week',
),
array(
'before' => '-2 weeks',
)
);
This will get you posts that were published in any of these ranges.
So now you have to build such array based on your filter data.
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