It appears to be working properly now, I don't believe the specific articles were the issue at all but how I got to Advanced Search form. Alin made some changes to the search component which corrected the issue mostly. The issue was still happening when you clicked the "Advanced Search" link on the Module.
I found that you had to change the link in the mod_ijoomla_search/helper.php page from:
<a href="index.php?option=com_ijoomla_archive&task=search" title="<?php echo $advancedtext;?>"><?php echo $advancedtext;?></a>
To:
<a href="<?php echo $link; ?>" title="<?php echo $advancedtext;?>"><?php echo $advancedtext;?></a>
which is the same hyperlink as the form's action attribute.
I asked Alin to post the component fix on this forum for everyone watching.
Thank you again for all your help.