Implementing mysql intersection - mysql

Question

I'm trying to do a filter search functionality in codeigniter. I have a table named products and my system has the functionality to filter these products by category and by date. I have a mysql code in mind which looks something like this:
SELECT * from products WHERE product_category='Cloth'
INTERSECT
SELECT * from products WHERE ('insert date logic here')
So it should return records (via id) from the same table named products. However, there's no INTERSECT in mysql so I don't know how to do this. Any help would be greatly appreciated!
This is my code just for the part of the product category
$this->db->limit($limit,$start);
$query = $this->db->query('SELECT * from product_advertised WHERE quantity > 0 AND prodcatid='.$prodcats[0].' LIMIT '.$start.','.$limit);
if(sizeof($prodcats > 1)) {
$query_str = "SELECT * FROM product_advertised WHERE quantity>0 AND ";
$str="";
for($i = 0;$i < sizeof($prodcats);$i++) {
if($i != sizeof($prodcats)-1) {
$str = $str. "prodcatid=".$prodcats[$i]." OR ";
}
else {
$str = $str. "prodcatid=".$prodcats[$i]." LIMIT ".$start.",".$limit;
}
}
$query_str .= $str;
$query = $this->db->query($query_str);
}
if($query->num_rows() > 0) {
foreach($query->result() as $row) {
$data[] = $row;
}
return $data;
}
return false;

Answer 1

Why wouldn't you just use and?
SELECT *
from products
WHERE product_category = 'Cloth' AND
('insert date logic here');