Trying to hide featured images when users search by category and tag widgets

I am new to wordpress and love the alizee theme, but need help with one aspect I want to customize. How can I hide featured images when users search posts by category and tags, but still keep them visible on the home page and on top of the individual blog posts? Any help would be greatly appreciated!

My site is goteachr.com. If need be, I can copy the part of the code you need to see, just let me know. (I don’t know enough to understand what part of code would be useful for others to see at this point).