You can only have 2 conditions below an AND/OR element in the query.
Examples:
Valid:
<And>
<Eq><FieldRef Name=”Title”><Value Type=”Text”>Value</Value></Eq>
<Eq><FieldRef Name=”ContentType”><Value Type=”Text”>Product</Value></Eq>
</And>
<Or>
<Eq><FieldRef Name=”Title”><Value Type=”Text”>Value</Value></Eq>
<Eq><FieldRef Name=”ContentType”><Value Type=”Text”>Product</Value></Eq>
</Or>
Invalid:
<And>
<Eq><FieldRef Name=”Title”><Value Type=”Text”>Value</Value></Eq>
<Eq><FieldRef Name=”ContentType”><Value Type=”Text”>Product</Value></Eq>
<Eq><FieldRef Name=”Field1″><Value Type=”Text”>Value</Value></Eq>
</And>
<Or>
<Eq><FieldRef Name=”Title”><Value Type=”Text”>Value</Value></Eq>
<Eq><FieldRef Name=”ContentType”><Value Type=”Text”>Product</Value></Eq>
<Eq><FieldRef Name=”Field1″><Value Type=”Text”>Value</Value></Eq>
</Or>
You can wrap AND/OR nodes in other AND/OR's. If you need three conditions, you would do the following:
Valid:
<And>
<And>
<Eq><FieldRef Name=”Title”><Value Type=”Text”>Value</Value></Eq>
<Eq><FieldRef Name=”ContentType”><Value Type=”Text”>Product</Value></Eq>
</And>
<Eq><FieldRef Name=”Field1″><Value Type=”Text”>Value</Value></Eq>
</And>
<Or>
<Or>
<Eq><FieldRef Name=”Title”><Value Type=”Text”>Value</Value></Eq>
<Eq><FieldRef Name=”ContentType”><Value Type=”Text”>Product</Value></Eq>
</Or>
<Eq><FieldRef Name=”Field1″><Value Type=”Text”>Value</Value></Eq>
</Or>
If you need more conditions, you need to get creative with your wrapping, but it can be done.