How can shoes that have come into contact with dog impurity be purified on a dry and wet path, given that the soles stepped on mud after walking a short distance on dry ground?

The urine and feces of a dog are impure with a severe impurity ( najasah mughalladhah), by the consensus of Muslims.

Scholars differed on how to purify dog urine and feces. Some said: it must be washed seven times, one of them with earth (this is the view of the Shafi’i and Hanbali schools). Others said: the seven washes are specific only to the licking (this is a view held by some Shafi’is). As for the Hanafis and Malikis, they do not consider the use of earth at all.

Those who advocated for the seven washes in purifying urine and feces argued that dog urine and feces are more vile than its saliva, which necessitates the seven washes.

Those who did not advocate for the seven washes argued that the fundamental principle regarding impurities is washing until the substance of the impurity is removed, and that the seven washes and the use of earth are specific to the dog's licking, with no evidence to extend this ruling to dog urine and feces.

The Permanent Committee for Issuing Fatwas chose not to obligate the seven washes in purifying dog urine and feces.

In summary, the ruling on dog urine and feces is the same as that for other impurities. The obligation in purifying them is to wash them until the impurity is removed. As for the seven washes, they are specific to its saliva only.

The default state of things is purity. Therefore, a shoe is not judged impure unless there is certainty of impurity being on it. It is not necessary for shoes to become impure merely by walking in a contaminated place. One should avoid opening the door to obsessive thoughts (waswas).