Hi there, I'm Tim and will be assisting you today. I have over 15 Years as an Engineer and have been with eBay, DoD and many others. I will do my very best to help you. If you like i can offer remote access and a call.
Its likely a setting in box.com, it too is cloud storage as you know, have you gone through the settings and looked for an option to keep items.?
I understand you were not able to help with this question but let me ask another question.
Does your area of expertise involve developing Apps?
Nope, I'm not a developer, I'm a network and systems engineer. Sorry.
I still think you should review your box.com settings, they appear to have different types of sync settings etc, which is probably what you are after.