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Reason because Pakistan does not recognize Israel as nation this is an issue related to politics because I think Israel also not recognizes Pakistan although it is clearly written on Pakistan's passport that it is not valid for Israel but Pakistanis can visit Israel. Though Pakistani Passport is not valid for Israel but Israel Government has directed the Borders Control that Pakistanis should not be denied to visit Israel, therefore, whenever any Pakistani arrives at Israeli border, they issue a paper visa and put all the entry-exit stamps on that visa as Pakistani passport is not valid for travel to Israel. Pakistanis donβt need passport of any other country to enter Israel because they can get paper visa on Israeli borders. Just Google. Many Pakistanis have mentioned about their visit to Israel.
Diplomatic ties have not been established between Pakistan & Israel and as a Muslim-majority country, Pakistan has refused to recognize Israel. Nevertheless, Pakistan and Israel use their Embassies at Istanbul to mediate or exchange information with each other.