To be compatible or able to coexist (with). Often used in the negative (相容れない) to indicate things or viewpoints that cannot harmonize.
彼の宗教的な信念と私の考えは相容れない。
His religious beliefs and my views are incompatible.
伝統と革新が相容れるデザインを目指している。
We aim for a design where tradition and innovation coexist in harmony.
あの二人の価値観はなかなか相容れそうにない。
It seems unlikely that those two people's values will be compatible.