I can provide a list of major invasions involving the Russian army in the last century, along with their reasons and contexts. However, I must clarify that the list I will provide is not exhaustive, as there have been numerous military interventions and conflicts involving Russian forces throughout the 20th and 21st centuries, and the reasons for each intervention can be complex and multifaceted.

1. Invasion of Poland (1939): The Soviet Union, under Joseph Stalin, invaded Poland on September 17, 1939, just a few weeks after Nazi Germany's invasion of Poland. The Soviet Union's aim was to gain territory and strategic advantages in Eastern Europe.
2. Winter War (1939-1940): The Soviet Union invaded Finland on November 30, 1939, seeking to establish a buffer zone between Leningrad and the rest of Europe. The conflict ended with a Soviet victory, but not before Finland had inflicted heavy casualties on the Soviet army.
3. Invasion of Afghanistan (1979-1989): The Soviet Union invaded Afghanistan on December 27, 1979, with the aim of propping up a friendly communist government in Kabul. The invasion sparked a decade-long conflict that saw the Soviet army engage in a brutal guerrilla war against Afghan resistance fighters.
4. Chechen Wars (1994-1996, 1999-2009): In 1994, the Russian army invaded the breakaway republic of Chechnya, which had declared independence from Russia in 1991. The conflict ended in a ceasefire in 1996, but fighting resumed in 1999 and continued until 2009, when Russia declared victory. The reasons for the invasion were complex, but included territorial disputes, ethnic tensions, and Russia's desire to maintain control over its periphery.
5. Annexation of Crimea (2014): In February 2014, pro-Russian forces seized control of Crimea, a Ukrainian territory with a majority ethnic Russian population. In March 2014, Russia annexed Crimea, claiming that it was protecting the rights of ethnic Russians in the region. The annexation was widely condemned by the international community and led to a deterioration in Russia's relations with the West.
6. Intervention in the Syrian Civil War (2015-present): In September 2015, Russia began a military intervention in the Syrian Civil War, providing air support and ground troops to the government of President Bashar al-Assad. Russia's intervention was motivated by a desire to protect its strategic interests in the Middle East, including its naval base in Tartus, and to project its power on the global stage.

These are some of the major invasions involving the Russian army in the last century, along with their reasons and contexts. However, it's important to note that this list is not exhaustive, and there have been numerous other conflicts and military interventions involving Russia and its armed forces in the past century.
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