Can be used.
There are a small number of vendors who make their own laundry detergent without a registered trademark and can be sold to outsiders according to regulations. But you are not allowed to use other people's trademarks.
But it’s best not to use it! There are a lot of products on the market that have the manufacturer's logo, why do you have to use those that don't and have certain risks?
Of course, if you made it yourself, or someone you know is familiar with it, then it depends on your trust in the product.