AUGUSTA — Despite Gov. Paul LePage’s differences with lawmakers over the state budget, Medicaid expansion and other issues, he’s staying busy signing dozens of bills sent to him by the Democratic-majority Legislature.

Lawmakers face a statutory deadline June 19 to finish work on a two-year budget, but have been at odds over tax cuts and other issues in the 2014-15 spending package. They also are divided over the expansion of Medicaid, or MaineCare, to 70,000 more residents.

While those thorny issues loom, lawmakers are sending stacks of bills covering a broad range of topics to the Republican governor’s desk, and most are quietly being signed.

A recently signed measure will exempt active-duty military members, stationed outside of the United States but home on leave, from having to take a hunter safety course to obtain a hunting license.

Another bill signed recently will allow municipalities to prohibit sex offenders from living within 750 feet of state-owned property that’s leased to a nonprofit organization for use as a park, athletic field or recreational facility that’s open to the public.

A law addressing worries of a revolving door of legislators who become lobbyists will bar a person who’s served as a legislator from engaging in activities that would require registration as a lobbyist or lobbyist associate until one year after that person’s term ends. The law goes into effect starting with the 2015-16 Legislature. Violators face $1,000 fines, but uncompensated lobbying is not prohibited.

During a hearing before a legislative committee, the League of Women Voters of Maine spoke in favor of the bill. While acknowledging that lobbying activities are protected by the First Amendment, the league’s Ann Luther said, “The rise over the last two centuries of a lobbying system dominated by paid lobbyists has resulted in a system where access to this right is tilted in favor of those who can pay.”

“Allowing a ‘cooling off’ period before accepting a lobbying job can lessen any suspicion that a legislator is beholden to any special interest,” Luther told the Committee on Veterans and Legal Affairs.

A newly signed bill eases citizenship identification requirements for driver’s licenses. A person who was born before Dec. 1, 1964, or who has continuously held a Maine non-driver identification card or Maine driver’s license since Dec. 31, 1989, can be exempted from the requirement that they provide documentation to establish citizenship. The exemption applies to instances when the person is renewing a driver’s license or is being issued a non-driver identification card.

Another law broadens the form of payment allowed by scrap metal dealers to credit cards or debit. Current law only allows checks. Scrap dealers are under scrutiny as law enforcement looks for ways to prevent thefts of metal, especially copper. One way is to establish a paper trail of sales.

LePage has signed into law a bill to recognize Maine seniors. The law designates the second Saturday in September of each year as Maine Seniors Day. Other newly signed bills touch on issues ranging from liquor licensing to tidal power regulation and seaweed management.