YOU SAID:
i miss the cat, the cat saw me and ran
INTO JAPANESE
私は猫が恋しい、猫は私を見て走った
BACK INTO ENGLISH
I miss the cat, he ran to see me
INTO JAPANESE
猫がいなくて寂しかったので、彼は私に会いに行った
BACK INTO ENGLISH
he went to see me because he missed the cat
it is unlikely that this phrase will ever reach equilibrium