Using the DataAssist Search Keyword search type, you can set the characters top create an OR separator. Set the OR Separator to be a comma, and set your open closed select list to pass each state as a comma separated list.
<option value="">Select a State</option>
<option value="Logged, Assigned, Contact Made, Solution Provided">Open</option>
<option value="Non Problem, User Error, Solution Accepted">Closed</option>
see attached screen shot for an example of the data assist search settings for a keyword search type.