Final answer:
Political contributions can have an influence on the legal engagements or appointments of judges, as justices' personal beliefs and political attitudes often play a role in their decision-making. However, political contributions are not the sole determining factor.
Step-by-step explanation:
Yes, political contributions can have an influence on the legal engagements or appointments of judges. Justices' personal beliefs and political attitudes can play a role in their decision-making. A more liberal-thinking judge may tend to make more liberal decisions, while a more conservative-leaning judge may lean toward more conservative ones. Although political contributions are not the sole determining factor, they can guide presidents to nominate judges who align with their own political or ideological image.