Synonyms for "shift"

The best place to find a synonym is a thesaurus. Here are two you can find online:

http://words.grammarly.com/

http://www.thesaurus.com

I am not sure what your sentence has to do with the question, but it is a rather messy sentence.

A sentence must end with either a period, an exclamation point, or a question mark.

"A indirect" is incorrect. To determine whether to use a or an, you look at the word after it. If it starts with (or sounds like it starts with) a consonant, use a. If it starts with (or sounds like it starts with) a vowel, use an. This sentence doesn't actually need the article, though.  Involvement is an uncountable noun.

When you make a numeral plural, you do not use an apostophe. It should be 1900s.

“Where” is misused in this sentence.  You are talking about a period of time, not a place.  Replace where with when.

For the regulations you are discussing, does the regulation go back to the 1900s or not?  The word “can” makes your statement very weak and uncertain.  I would delete it.

If you ended the sentence after the word state, then “by the state” would make sense.  But you added "and local level."  Usually, we would say “at the state and local levels.”  (Note levels needs to be plural.)  But that doesn’t fit well with involvement.  Actually, I don’t understand your context here at all.  If regulations were being made by state and local governments, how is that indirect involvement?  The governments would be directly involving themselves in the people’s business.  Perhaps you mean to say that people thought of early regulations as interference or unnecessary involvement.

The history of regulation goes back to the early 1900s when it was viewed as interference by state and local governments.