Can someone help me with a latin translation please?

i want to say "life through new hope". but each translator i use gives me a different result. it is the slogan for a fictional company in one of my stories. im getting vita per novus spes vita per spem. i know latin words can change dependant on the words surrounding them. any help greatly... show more i want to say "life through new hope". but each translator i use gives me a different result. it is the slogan for a fictional company in one of my stories.

im getting

vita per novus spes
vita per spem.

i know latin words can change dependant on the words surrounding them. any help greatly appreciated.
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