part and export - What is the usage in dart?

I am a beginner in Dart and Flutter. I have seen lots of examples on GitHub using part and export keywords. I have searched on google, but still don't understand it clearly. I already read the answer When to use part/part of versus import/export in Dart?

still, I don't get it. Maybe it bit of a lengthy one and I am not a native English speaker.

1. why are these keywords using?
2. What they do?

Here is a simple code sample comprised of 3 files. Two files make up the library and one uses it. Explanations for all features are included in comments throughout the files.

library_main.dart

// UPDATE (2025): the `library` declaration is obsolete! it is
// still available for legacy compatibility, but there is
// no reason to use it anymore
// declare a name for this library
// NOTE: generally speaking, a single Dart file is a Library
// `part` & `part of` allow us to divide the library among
// multiple files
library counter;

// export adds contents of another Library to this Library's namespace
// here we are adding all content (accessible from outside the library) from
// the material library
// NOTE: this is intended for related libraries
// this arbitrary usage is simply for demonstration purposes
export 'package:flutter/material.dart';

// for finer control, we can use the 'show' directive
// try this to see the effects of selected export
// export 'package:flutter/material.dart' show StatefulWidget, State;

// include any files containing parts of this library
part 'library_part.dart';

class Counter extends AbstractCounter {
  // we can access library private variable _count even though it is in a different
  // file because we made it part of the same library
  reset() => _count = 0;
}

library_part.dart

// declare this file as part of the counter library
part of counter;

abstract class AbstractCounter {
  // this is a library private variable (_varName)
  // if this file were not made part of the counter library, this variable
  // would not be accessible to the Counter class in library_main.dart
  // this is an important concept to understand about Dart's library privacy
  // it differs from class based privacy, like that used in Java
  int _count = 0;

  get count => _count;
  increment() => ++_count;
}

library_example.dart

// note that 'material.dart' does not need to be imported
// because it has been exported with the counter library
import 'library_main.dart';

class LibraryExample extends StatefulWidget {
  @override
  _LibraryExampleState createState() => _LibraryExampleState();
}

class _LibraryExampleState extends State<LibraryExample> {
  final _counter = Counter();

  @override
  Widget build(BuildContext context) {
    return Scaffold(
      appBar: AppBar(
        title: Text('Library Example'),
      ),
      body: Center(
        child: Text('You have pressed the button ${_counter.count} times.'),
      ),
      floatingActionButton: Row(
        mainAxisAlignment: MainAxisAlignment.end,
        children: [
          FloatingActionButton(
            child: Text('Reset'),
            onPressed: () => setState(() => _counter.reset()),
          ),
          SizedBox(width: 10),
          FloatingActionButton(
            child: Icon(Icons.add),
            onPressed: () => setState(() => _counter.increment()),
          ),
        ],
      ),
    );
  }
}