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Just set the content query in a regular way (<a href="http://office.microsoft.com/en-us/sharepoint-designer-help/display-data-from-multiple-lists-with-the-content-query-web-part-HA010174134.aspx" rel="ugc">http://office.microsoft.com/en-us/sharepoint-designer-help/display-data-from-multiple-lists-with-the-content-query-web-part-HA010174134.aspx</a>). It will only filter the contents for which the user has access to.
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Just set the content query in a regular way (http://office.microsoft.com/en-us/sharepoint-designer-help/display-data-from-multiple-lists-with-the-content-query-web-part-HA010174134.aspx [http://office.microsoft.com/en-us/sharepoint-designer-help/display-data-from-multiple-lists-with-the-content-query-web-part-HA010174134.aspx]). It will only filter the contents for which the user has access to.

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I need to display all sites (page templates) that current user can access. Content query includes pages, but does not seems to allow sites as queriable objects.
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I need to display all sites (page templates) that current user can access. Content query includes pages, but does not seems to allow sites as queriable objects.

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Thanks. I am new to xsl, but seems like I need to learn it.
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Thanks. I am new to xsl, but seems like I need to learn it.

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How do I create a contentquery that queries all the subsites in which current user is member of? 
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How do I create a contentquery that queries all the subsites in which current user is member of? 

How do I create a contentquery queries specific sites

Microsoft Sharepoint is a software platform and family of software products used for collaboration and web publishing combined. These capabilities include developing web sites, portals, intranets, content management systems, search engines, wikis, blogs, and other tools for business intelligence and collaboration. SharePoint has a Microsoft Office-like interface, and it is closely integrated with the Office suite.