PHPSESSID expires before my cookie

I have the following code:

$expireTime = 60*60*24*364; // 365 days
session_set_cookie_params($expireTime); // seconds
session_start();

My problem is, that my PHPSESSID expires before my cookie. I have then added the fowlloing code:

$expireTime = 60*60*24*364; // 365 days
session_set_cookie_params($expireTime); // seconds
session_cache_limiter('private');
session_cache_expire(8760); // minutes
session_start();

Now my cookie expires after the browser closes instead of the 365 days!?

How do I get the same expiration on both my cookie and my PHPSESSID on my server?

I am running with PHP5 on a FreeBSD server.
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