I have a feeling edart.motorola.com "is not the Advanced Search (droid) you're looking for..."
To take a stab at your question, I noticed the edart.motorola.com site you referenced actually is running JIRA 3.13.2, which contains an 'Advanced' search, but it's not the same advanced search or JQL used in later and more recent versions of JIRA.
Support for additional logical operators (AND/OR), searching JIRA's change history, etc. are all unique to JIRA 4.0+. That is, none of this functionality around advanced search is possible in JIRA 3.13.2 and likely why you don't see what you're calling 'Advanced Search'. It's there, it's just not the same as what you're looking to do.
If my theory holds true, you would need to upgrade edart.motorola.com to JIRA 4.4.x to be able to use JIRA's advanced search (JQL).
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