MySQL-Join:获取最新条目超过2天的父项的条目

I got two tables with mails: One table contains the meta-information of an email-conversation like participants, title, ...

Conversations:

id - title

The second table contains the attached messages, which are joined via conversation-id:

Messages:

id - conversationid - date

Now I would like to get the id of all conversations where the last attached message is older than 2 days.

I created this:

SELECT max(c.date) as lastanswer, t.id
FROM daf64_bestia_mails as m
LEFT JOIN daf64_bestia_mails_messages AS c ON c.conversationid=t.conversationid
WHERE t.state = 0

Now if I try to get

AND lastanswer > 2015-07-19

I get an error that tells me, that lastanswer is not known.

How can I create a correct query here?