The phrase "enter on or upon" can be replaced with several synonyms that effectively convey the same meaning. Some of these include "begin," "commence," "embark," "initiate," "undertake," and "launch." Each of these words suggests a start or a beginning of some action or event. For example, instead of saying "he entered upon his new job," one could say "he commenced his new job." Similarly, rather than "she entered on her journey," one may say "she embarked on her journey." These synonyms allow for more variety in language and can help to avoid repetition within written or spoken communication.