I have three tables with the following relations,
------- 1 0..* ------------
|Product|-------------|Availability|
------- --------
Use this:
$sql = 'SELECT p.ID FROM product p
LEFT JOIN availability a ON a.productID=p.ID
AND a.start>=DATE_ADD(DATE(now()), INTERVAL 7 DAY)
LEFT JOIN meta_data m ON m.ID=p.meta_dataID
WHERE a.ID IS NULL
AND m.published_state=1';
$products = Product::findBySql($sql);
Yii Active Record has a findBySql($sql) method that allows you to run and get the data from database using a raw SQL query. It helps a lot when you got confused with Yii's query method or when your query get more complicated to be ran with Yii as in your case I suppose.
So basically, in above block of codes, you just put your raw SQL query to a variable called $sql, and use it as the parameter value of findBySql() method.