Is it obligatory to inspect advertising papers placed on the ground to be stepped on to avoid soiling the office, knowing that this is not by my will, and is it sufficient to avoid stepping on them while disliking the act if they contain words that should not be placed on the ground?

It is forbidden to step on papers that contain revered religious texts, such as "the names of Allah." There is no obligation to inspect the content of an advertising paper, but if it becomes clear that it contains something that must be respected, then stepping on it is forbidden, and you should advise others not to step on it. If you avoid stepping on such papers altogether, as a way to avoid the disagreement of those who obligate respect for all written material, then you have done well.