YOU SAID:
I'm bored and my cat is sleeping
INTO JAPANESE
私は退屈だし、私の猫は寝ている
BACK INTO ENGLISH
I am bored and my cat is sleeping
INTO JAPANESE
私は退屈していて、私の猫は寝ています
BACK INTO ENGLISH
I am bored and my cat is sleeping
That didn't even make that much sense in English.