Is it obligatory to go back to the trash cans to take out newspapers that may contain the name of Allah after they have been thrown in them, in order for one's Islam to be valid?

Religion is ease, and hardship brings facilitation. Therefore, one should not track down garbage bins and inspect them. Rather, if you see something containing the remembrance of Allah discarded, and it is easy to pick it up without hardship, then pick it up and dispose of it by burning or shredding if you wish. We also advise turning away from the whispers of Islam's invalidity that Satan raises to corrupt one's religion and worldly life. The cure for them is not to indulge in them.