in what other ways does a secular state not interfere with the religious beliefs of its people
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A secular state is an idea pertaining to secularity, whereby a state is or purports to be officially neutral in matters of religion, supporting neither religion nor irreligion.[1] A secular state claims to treat all its citizens equally regardless of religion, and claims to avoid preferential treatment for a citizen based on their religious beliefs, affiliation or lack of either over those with other profiles.
Secular states do not have a state religion (e.g. an established religion) or an equivalent, although the absence of an established state religion does not necessarily imply that a state is fully secular or egalitarian in all respects. For example, that describe themselves as secular have religious references in their national anthems and flags, or laws which advantage one religion or another.