Try changing your slide quality to High Quality. Does this help remove the "ghost"?
The ghost lines will display when your browser is viewed at anything that isn't 100%. Adjust your browser's view to 100% and the ghost cursors will no longer display.
Bit off topic (it is definitely the slide quality that is the culprit, if you are starting the SWF by the companion HTML-file): please upgrade your Captivate version, recently an important patch was released and the present version is 220.127.116.110.
Can you share your published project and edittime project for investigation.
Is your published swf is resized and played on IE?
Try publishing project with below preference option switched off.
Project -> Swf Size and Quality -> Uncheck Advanced Project Compression.