Need help on a MySQL search query

I need some help on a MySQL query I'm trying to set up. I need to find records that match conditions that are located in two different tables with a many to many relationship.

I use three tables in this query, the first contains projects, the second contains topics and the third ties them together. I want the query to find projects that are related to the topic that was selected by the user. Users can also select more than one topic to perform th开发者_JAVA百科e search. In that case I only want to show projects that are related to both topics and not to either of them. This is what I can't figure out how to do. I expected that I'd have to do something like this but this query yields no results whilst there is a project that is linked to both topics in the database.

SELECT `projects`.*
FROM `projects`, `topics`, `projects_topics`
WHERE (`name` LIKE '%%' || `vision` LIKE '%%' || `highlights` LIKE '%%' || `optional` LIKE '%%')
    && ((`projects_topics`.`projects_id` = `projects`.`id` && `projects_topics`.`topics_id` = `topics`.`id` && `topics`.`id` = '1')
        && (`projects_topics`.`projects_id` = `projects`.`id` && `projects_topics`.`topics_id` = `topics`.`id` && `topics`.`id` = '9'))
ORDER BY `date_added` DESC

These are the tables:

projects

+--------------+--------------+------+-----+---------+----------------+
| Field        | Type         | Null | Key | Default | Extra          |
+--------------+--------------+------+-----+---------+----------------+
| id           | int(11)      | NO   | PRI | NULL    | auto_increment | 
| fields_id    | int(11)      | NO   | PRI | NULL    |                | 
| name         | varchar(255) | YES  |     | NULL    |                | 
| address      | varchar(255) | YES  |     | NULL    |                | 
| zip          | varchar(255) | YES  |     | NULL    |                | 
| city         | varchar(255) | YES  |     | NULL    |                | 
| state        | varchar(255) | YES  |     | NULL    |                | 
| countries_id | int(11)      | NO   | PRI | NULL    |                | 
| website      | varchar(255) | YES  |     | NULL    |                | 
| client       | varchar(255) | YES  |     | NULL    |                | 
| finished     | date         | YES  |     | NULL    |                | 
| budget       | int(11)      | YES  |     | NULL    |                | 
| vision       | text         | YES  |     | NULL    |                | 
| highlights   | text         | YES  |     | NULL    |                | 
| innovation   | text         | YES  |     | NULL    |                | 
| optional     | text         | YES  |     | NULL    |                | 
| publish      | tinyint(1)   | YES  |     | NULL    |                | 
| date         | datetime     | YES  |     | NULL    |                | 
| featured     | tinyint(1)   | YES  |     | NULL    |                | 
| frontpage    | tinyint(1)   | YES  |     | NULL    |                | 
| date_added   | datetime     | YES  |     | NULL    |                | 
+--------------+--------------+------+-----+---------+----------------+

topics

+-------+--------------+------+-----+---------+----------------+
| Field | Type         | Null | Key | Default | Extra          |
+-------+--------------+------+-----+---------+----------------+
| id    | int(11)      | NO   | PRI | NULL    | auto_increment | 
| topic | varchar(255) | YES  |     | NULL    |                | 
| order | int(11)      | YES  |     | NULL    |                | 
+-------+--------------+------+-----+---------+----------------+

projects_topics

+-------------+---------+------+-----+---------+-------+
| Field       | Type    | Null | Key | Default | Extra |
+-------------+---------+------+-----+---------+-------+
| projects_id | int(11) | NO   | PRI | NULL    |       | 
| topics_id   | int(11) | NO   | PRI | NULL    |       | 
+-------------+---------+------+-----+---------+-------+

SELECT  p.*
FROM    (
        SELECT  project_id
        FROM    project_topics pt
        WHERE   topics_id IN (5, 9)
        GROUP BY
                project_id
        HAVING  COUNT(*) = 2
        ) pto
JOIN    projects p
ON      p.project_id = pto.project_id

or

SELECT  p.*
FROM    projects p
WHERE   EXISTS
        (
        SELECT  NULL
        FROM    project_topics pt
        WHERE   pt.project_id = p.project_id
                AND pt.topic_id IN (5, 9)
        LIMIT 1 OFFSET 1
        )

Make sure that the PK in project_topics is defined as (project_id, topic_id) (in this order), or create an additional UNIQUE index on (topic_id, project_id).