YOU SAID:
the cats are taking it to and fro, jumping
INTO JAPANESE
猫はそれを行ったり来たり、ジャンプしています
BACK INTO ENGLISH
The cat is jumping back and forth on it
INTO JAPANESE
猫はその上を行ったり来たりしています
BACK INTO ENGLISH
the cat is going back and forth on it
INTO JAPANESE
猫はその上を行ったり来たりしています
it is unlikely that this phrase will ever reach equilibrium