Of course it can be resolved, once we find what is causing the issue.
Please try to deactivate all the plugins, except the Ajax Search Pro and see if it works then. If it works with all the other plugins deactivated, then it's something else conflicting.
You can also try to switch the theme temporary to the default, and see if it's working then.
Once we find the plugin conflict I will able to reproduce it on my test environment and help with the solution.Best,
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