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Due to a refresh bug in Remedy, it is necessary to manually refresh the record (not the web page) in order to display the status correctly. To do this, click the "down arrow" icon which is next to the home icon in the upper left area of the screen. This will popup a list of recent requests and you can then double-click on the record which you were working on. That record should then refresh and will be shown in the proper phase. 
In this example, I created a Normal change which requires approval at the review phase. You can see Garry's ID listed in the approval section in the lower right section of the screen. Garry will receive an email requesting approval for this change. Once he approves the record, I will receive a notification and can then proceed with the next phase of the record, which is planning and scheduling.