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    ">(4.21) $ \\left( \\frac{Y_{t, alt}/L_{t, alt}}{Y_{t, ini}/L_{t, ini}} \\right)^* $\n",
    "$ = \\left( \\frac{n+g_{in}+\\delta}{(n+g_{in}+\\Delta g + \\delta) \\right)^{\\theta} (1+ \\Delta g)^t $"
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    ">(5.7) $ \\ln(E) = \\ln(H) - \\frac{\\ln(L)}{\\gamma} $\n",
    "\n",
    "Then since:\n",
    "\n",
    ">(5.8) $ y^{*mal} = \\left( \\frac{s}{\\gamma h +\\delta} \\right)^\\theta E $\n",
    "\n",
    ">(5.9) $ \\ln(\\phi) + \\ln\\left( y^{sub} \\right) + \\ln\\left(1 + \\frac{\\gamma h}{\\beta} \\right) = \\theta \\ln(s) - \\theta \\ln(\\gamma h +\\delta) + \\ln(E) $\n",
    "\n",
    "The population and labor force in the full Malthusian equilibrium will be:\n",
    "\n",
    ">(5.10) $ \\ln(L_t^{*mal}) = \\gamma \\left[ \\ln(H_t) - \\ln( y^{sub}) \\right] +  \\gamma  \\theta \\left( \\ln(s) - \\ln(\\delta) \\right)  -  \\gamma  \\ln(\\phi) + \\left( - \\gamma \\theta \\ln(1 + \\gamma h/\\delta) -\\gamma ln\\left(1 + \\frac{\\gamma h}{\\beta} \\right) \\right) $"
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