YOU SAID:

there is a purple horse playing chess with my cat

INTO JAPANESE

私の猫とチェスをしている紫色の馬がいます

BACK INTO ENGLISH

I have a purple horse playing chess with my cat

INTO JAPANESE

私は猫とチェスをしている紫色の馬を飼っています

BACK INTO ENGLISH

I have a purple horse playing chess with my cat