No, one second is still one second. Setting aside gravitational effects (which get beyond ELI5 really quickly) they are specifically talking about time measurements based on physical phenomenon. That is, days and years.
A “day” is a unit of time based on how fast the Earth rotates. When it rotates a single time. That’s a day. Similarly, a “year” is a unit of time based on how fast the Earth revolves around the sun. When it completes a revolution, that’s a year.
Different planets rotate and revolve around the sun at different rates. And sometimes we express those rates relative to Earth. For example, Mars rotates every 24.6 hours which is only slightly longer than Earth. By comparison Venus rotates once every 243 *Earth* days. So one day on Venus is equal to 243 days on Earth.
And the years works the same way. Mars takes 687 Earth days to revolve around the sun. So one year on Mars is almost 2 years on Earth.
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