Translation of "Carve" in Japanese

At times I confuse "curve" with "carve".

時々、ｃｕｒｖｅとｃａｒｖｅを間違えてしまう。

At times I confuse curve with carve.

私は時々ＣｕｒｖｅとＣａｒｖｅを混同してしまう。

Companions with the same aim, to carve out their own future, cooperate with each other.

進路を開拓するという同じ目標を持った仲間同士が協力する。

They'll cut and carve their way through the valleys. That makes them a good thing to follow

道を切り開いて 谷を抜けるのさ たどって行けるが