Can a constructors that is declared within a base class, inherited by subclasses

Yes

public class B : A

public B(int value): base(value)

using System;

public class A // This is the base class.
{
    public A(int value)
    {
        // Executes some code in the constructor.
        Console.WriteLine("Base constructor A()");
    }
}

public class B : A // This class derives from the previous class.
{
    public B(int value)
        : base(value)
    {
        // The base constructor is called first.
        // ... Then this code is executed.
        Console.WriteLine("Derived constructor B()");
    }
}

class Program
{
    static void Main()
    {
        // Create a new instance of class A, which is the base class.
        // ... Then create an instance of B.
        // ... B executes the base constructor.
        A a = new A(0);
        B b = new B(1);
    }
}

Output

Base constructor A()

Base constructor A()

Derived constructor B()