This is true. The battle of Palmito Ranch occurred from May 12, 1865 to May 13, 1865 while the Civil War ended on May 9, 1865.
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To maintain their sovereign authority
The Russo-Japanese War showed the United States' growing role in world affairs after US President Theodore Roosevelt negotiated and convinced the two sides to sign a peace treaty to end the war. This showed that United States has a power and large influence in most country's decisions.
The last military draft was said to be in the year 1973. That would mean it's been 44 years.