YOU SAID:

The dog is chased by the barking cat, while I just fired my boss

INTO JAPANESE

私の上司を解雇している間、犬は吠える猫に追われています

BACK INTO ENGLISH

While firing my boss, the dog is being chased by a barking cat

INTO JAPANESE

私の上司を解雇しながら、犬は吠える猫に追われている

BACK INTO ENGLISH

While firing my boss, the dog is being chased by a barking cat