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I noticed this as well...I would think it is a bug. The actual difference in the link which takes you directly to a FAQ and the results from a search which shows the same FAQ is a 'q' character. Like so:
From search results:
http://../xoopsfaq/index.php?cat_id=1#1
From FAQ section:
http://../xoopsfaq/index.php?cat_id=1#q1
Stupid little q...
I hacked the xoopsfaq_category.html and xoopsfaq_index.html template files to remove the 'q' and then updated the FAQ module in the admin section.
It works fine for me now...
I haven't checked into the news problem but I ASSume it would be the same.