"believed to be good" or "believed good": which one is better to use in writing?

My English is bull so I am not sure if there is a right way of doing it but this is how I frame the problem:

...explicit/implicit formulation? I'd guess it depends on context and pacing.

You can use either construction.

Fil Albuquerque has it right; look at context and pacing. If I were addressing children or having an informal conversation with friends I'd probably use the longer form. But if I were summarizing information at a professional conference I'd be more likely to say "the last three shipments we received are believed good". You'll be understood in either case.